TSTP Solution File: PUZ007-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : PUZ007-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 18 14:10:48 EDT 2022
% Result : Unsatisfiable 0.14s 0.40s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ007-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Sep 2 18:12:04 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.35 Usage: tptp [options] [-file:]file
% 0.14/0.35 -h, -? prints this message.
% 0.14/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.35 -m, -model generate model.
% 0.14/0.35 -p, -proof generate proof.
% 0.14/0.35 -c, -core generate unsat core of named formulas.
% 0.14/0.35 -st, -statistics display statistics.
% 0.14/0.35 -t:timeout set timeout (in second).
% 0.14/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.35 -<param>:<value> configuration parameter and value.
% 0.14/0.35 -o:<output-file> file to place output in.
% 0.14/0.40 % SZS status Unsatisfiable
% 0.14/0.40 % SZS output start Proof
% 0.14/0.40 tff(male_type, type, (
% 0.14/0.40 male: $i > $o)).
% 0.14/0.40 tff(a_type, type, (
% 0.14/0.40 a: $i)).
% 0.14/0.40 tff(female_type, type, (
% 0.14/0.40 female: $i > $o)).
% 0.14/0.40 tff(b_type, type, (
% 0.14/0.40 b: $i)).
% 0.14/0.40 tff(truthteller_type, type, (
% 0.14/0.40 truthteller: $i > $o)).
% 0.14/0.40 tff(a_truth_type, type, (
% 0.14/0.40 a_truth: $i > $o)).
% 0.14/0.40 tff(statement_by_type, type, (
% 0.14/0.40 statement_by: $i > $i)).
% 0.14/0.40 tff(from_mars_type, type, (
% 0.14/0.40 from_mars: $i > $o)).
% 0.14/0.40 tff(from_venus_type, type, (
% 0.14/0.40 from_venus: $i > $o)).
% 0.14/0.40 tff(liar_type, type, (
% 0.14/0.40 liar: $i > $o)).
% 0.14/0.40 tff(a_from_mars_type, type, (
% 0.14/0.40 a_from_mars: $i)).
% 0.14/0.40 tff(says_type, type, (
% 0.14/0.40 says: ( $i * $i ) > $o)).
% 0.14/0.40 tff(a_has_lied_type, type, (
% 0.14/0.40 a_has_lied: $i)).
% 0.14/0.40 tff(1,assumption,(from_venus(a)), introduced(assumption)).
% 0.14/0.40 tff(2,plain,
% 0.14/0.40 (^[X: $i] : refl(((~from_mars(X)) | (~from_venus(X))) <=> ((~from_mars(X)) | (~from_venus(X))))),
% 0.14/0.40 inference(bind,[status(th)],[])).
% 0.14/0.40 tff(3,plain,
% 0.14/0.40 (![X: $i] : ((~from_mars(X)) | (~from_venus(X))) <=> ![X: $i] : ((~from_mars(X)) | (~from_venus(X)))),
% 0.14/0.40 inference(quant_intro,[status(thm)],[2])).
% 0.14/0.40 tff(4,plain,
% 0.14/0.40 (![X: $i] : ((~from_mars(X)) | (~from_venus(X))) <=> ![X: $i] : ((~from_mars(X)) | (~from_venus(X)))),
% 0.14/0.40 inference(rewrite,[status(thm)],[])).
% 0.14/0.40 tff(5,axiom,(![X: $i] : ((~from_mars(X)) | (~from_venus(X)))), file('/export/starexec/sandbox2/benchmark/Axioms/PUZ001-0.ax','not_from_mars_and_venus')).
% 0.14/0.40 tff(6,plain,
% 0.14/0.40 (![X: $i] : ((~from_mars(X)) | (~from_venus(X)))),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[5, 4])).
% 0.14/0.40 tff(7,plain,(
% 0.14/0.40 ![X: $i] : ((~from_mars(X)) | (~from_venus(X)))),
% 0.14/0.40 inference(skolemize,[status(sab)],[6])).
% 0.14/0.40 tff(8,plain,
% 0.14/0.40 (![X: $i] : ((~from_mars(X)) | (~from_venus(X)))),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[7, 3])).
% 0.14/0.40 tff(9,plain,
% 0.14/0.40 (((~![X: $i] : ((~from_mars(X)) | (~from_venus(X)))) | ((~from_mars(a)) | (~from_venus(a)))) <=> ((~![X: $i] : ((~from_mars(X)) | (~from_venus(X)))) | (~from_mars(a)) | (~from_venus(a)))),
% 0.14/0.40 inference(rewrite,[status(thm)],[])).
% 0.14/0.40 tff(10,plain,
% 0.14/0.40 ((~![X: $i] : ((~from_mars(X)) | (~from_venus(X)))) | ((~from_mars(a)) | (~from_venus(a)))),
% 0.14/0.40 inference(quant_inst,[status(thm)],[])).
% 0.14/0.40 tff(11,plain,
% 0.14/0.40 ((~![X: $i] : ((~from_mars(X)) | (~from_venus(X)))) | (~from_mars(a)) | (~from_venus(a))),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[10, 9])).
% 0.14/0.40 tff(12,plain,
% 0.14/0.40 (~from_mars(a)),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[11, 8, 1])).
% 0.14/0.40 tff(13,plain,
% 0.14/0.40 ((from_mars(a) | (~a_truth(a_from_mars))) <=> (from_mars(a) | (~a_truth(statement_by(a))))),
% 0.14/0.40 inference(rewrite,[status(thm)],[])).
% 0.14/0.40 tff(14,plain,
% 0.14/0.40 ((from_mars(a) | (~a_truth(a_from_mars))) <=> (from_mars(a) | (~a_truth(a_from_mars)))),
% 0.14/0.40 inference(rewrite,[status(thm)],[])).
% 0.14/0.40 tff(15,axiom,(from_mars(a) | (~a_truth(a_from_mars))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','a_from_mars2')).
% 0.14/0.40 tff(16,plain,
% 0.14/0.40 (from_mars(a) | (~a_truth(a_from_mars))),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[15, 14])).
% 0.14/0.40 tff(17,plain,
% 0.14/0.40 (from_mars(a) | (~a_truth(statement_by(a)))),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[16, 13])).
% 0.14/0.40 tff(18,plain,
% 0.14/0.40 (~a_truth(statement_by(a))),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[17, 12])).
% 0.14/0.40 tff(19,plain,
% 0.14/0.40 ((a_truth(a_from_mars) | a_truth(statement_by(b))) <=> (a_truth(statement_by(a)) | a_truth(statement_by(b)))),
% 0.14/0.40 inference(rewrite,[status(thm)],[])).
% 0.14/0.40 tff(20,plain,
% 0.14/0.40 ((a_truth(a_from_mars) | a_truth(statement_by(b))) <=> (a_truth(a_from_mars) | a_truth(statement_by(b)))),
% 0.14/0.40 inference(rewrite,[status(thm)],[])).
% 0.14/0.40 tff(21,axiom,(a_truth(a_from_mars) | a_truth(statement_by(b))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','truth_of_bs_statement')).
% 0.14/0.40 tff(22,plain,
% 0.14/0.40 (a_truth(a_from_mars) | a_truth(statement_by(b))),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[21, 20])).
% 0.14/0.40 tff(23,plain,
% 0.14/0.40 (a_truth(statement_by(a)) | a_truth(statement_by(b))),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[22, 19])).
% 0.14/0.40 tff(24,plain,
% 0.14/0.40 (a_truth(statement_by(b))),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[23, 18])).
% 0.14/0.40 tff(25,plain,
% 0.14/0.40 (says(b, a_has_lied) <=> says(b, statement_by(b))),
% 0.14/0.40 inference(rewrite,[status(thm)],[])).
% 0.14/0.40 tff(26,plain,
% 0.20/0.40 (says(b, a_has_lied) <=> says(b, a_has_lied)),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(27,axiom,(says(b, a_has_lied)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','b_says_a_lies')).
% 0.20/0.40 tff(28,plain,
% 0.20/0.40 (says(b, a_has_lied)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[27, 26])).
% 0.20/0.40 tff(29,plain,
% 0.20/0.40 (says(b, statement_by(b))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[28, 25])).
% 0.20/0.40 tff(30,plain,
% 0.20/0.40 (^[Y: $i, X: $i] : refl(((~liar(X)) | (~a_truth(Y)) | (~says(X, Y))) <=> ((~liar(X)) | (~a_truth(Y)) | (~says(X, Y))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(31,plain,
% 0.20/0.40 (![Y: $i, X: $i] : ((~liar(X)) | (~a_truth(Y)) | (~says(X, Y))) <=> ![Y: $i, X: $i] : ((~liar(X)) | (~a_truth(Y)) | (~says(X, Y)))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[30])).
% 0.20/0.40 tff(32,plain,
% 0.20/0.40 (![Y: $i, X: $i] : ((~liar(X)) | (~a_truth(Y)) | (~says(X, Y))) <=> ![Y: $i, X: $i] : ((~liar(X)) | (~a_truth(Y)) | (~says(X, Y)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(33,plain,
% 0.20/0.40 (^[Y: $i, X: $i] : rewrite((((~liar(X)) | (~says(X, Y))) | (~a_truth(Y))) <=> ((~liar(X)) | (~a_truth(Y)) | (~says(X, Y))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(34,plain,
% 0.20/0.40 (![Y: $i, X: $i] : (((~liar(X)) | (~says(X, Y))) | (~a_truth(Y))) <=> ![Y: $i, X: $i] : ((~liar(X)) | (~a_truth(Y)) | (~says(X, Y)))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[33])).
% 0.20/0.40 tff(35,axiom,(![Y: $i, X: $i] : (((~liar(X)) | (~says(X, Y))) | (~a_truth(Y)))), file('/export/starexec/sandbox2/benchmark/Axioms/PUZ001-0.ax','liars_make_false_statements')).
% 0.20/0.40 tff(36,plain,
% 0.20/0.40 (![Y: $i, X: $i] : ((~liar(X)) | (~a_truth(Y)) | (~says(X, Y)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[35, 34])).
% 0.20/0.40 tff(37,plain,
% 0.20/0.40 (![Y: $i, X: $i] : ((~liar(X)) | (~a_truth(Y)) | (~says(X, Y)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[36, 32])).
% 0.20/0.40 tff(38,plain,(
% 0.20/0.40 ![Y: $i, X: $i] : ((~liar(X)) | (~a_truth(Y)) | (~says(X, Y)))),
% 0.20/0.40 inference(skolemize,[status(sab)],[37])).
% 0.20/0.40 tff(39,plain,
% 0.20/0.40 (![Y: $i, X: $i] : ((~liar(X)) | (~a_truth(Y)) | (~says(X, Y)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[38, 31])).
% 0.20/0.40 tff(40,plain,
% 0.20/0.40 (((~![Y: $i, X: $i] : ((~liar(X)) | (~a_truth(Y)) | (~says(X, Y)))) | ((~liar(b)) | (~a_truth(statement_by(b))) | (~says(b, statement_by(b))))) <=> ((~![Y: $i, X: $i] : ((~liar(X)) | (~a_truth(Y)) | (~says(X, Y)))) | (~liar(b)) | (~a_truth(statement_by(b))) | (~says(b, statement_by(b))))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(41,plain,
% 0.20/0.40 ((~![Y: $i, X: $i] : ((~liar(X)) | (~a_truth(Y)) | (~says(X, Y)))) | ((~liar(b)) | (~a_truth(statement_by(b))) | (~says(b, statement_by(b))))),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(42,plain,
% 0.20/0.40 ((~![Y: $i, X: $i] : ((~liar(X)) | (~a_truth(Y)) | (~says(X, Y)))) | (~liar(b)) | (~a_truth(statement_by(b))) | (~says(b, statement_by(b)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[41, 40])).
% 0.20/0.40 tff(43,plain,
% 0.20/0.40 ((~liar(b)) | (~a_truth(statement_by(b)))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[42, 39, 29])).
% 0.20/0.40 tff(44,plain,
% 0.20/0.40 (~liar(b)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[43, 24])).
% 0.20/0.40 tff(45,plain,
% 0.20/0.40 ((from_mars(a) | from_mars(b)) <=> (from_mars(a) | from_mars(b))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(46,plain,
% 0.20/0.40 ((from_mars(b) | from_mars(a)) <=> (from_mars(a) | from_mars(b))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(47,axiom,(from_mars(b) | from_mars(a)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','one_from_mars')).
% 0.20/0.40 tff(48,plain,
% 0.20/0.40 (from_mars(a) | from_mars(b)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[47, 46])).
% 0.20/0.40 tff(49,plain,
% 0.20/0.40 (from_mars(a) | from_mars(b)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[48, 45])).
% 0.20/0.40 tff(50,plain,
% 0.20/0.40 (from_mars(b)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[49, 12])).
% 0.20/0.40 tff(51,plain,
% 0.20/0.40 (^[X: $i] : refl(((~from_mars(X)) | liar(X) | (~female(X))) <=> ((~from_mars(X)) | liar(X) | (~female(X))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(52,plain,
% 0.20/0.40 (![X: $i] : ((~from_mars(X)) | liar(X) | (~female(X))) <=> ![X: $i] : ((~from_mars(X)) | liar(X) | (~female(X)))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[51])).
% 0.20/0.40 tff(53,plain,
% 0.20/0.40 (![X: $i] : ((~from_mars(X)) | liar(X) | (~female(X))) <=> ![X: $i] : ((~from_mars(X)) | liar(X) | (~female(X)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(54,plain,
% 0.20/0.40 (^[X: $i] : trans(monotonicity(rewrite(((~from_mars(X)) | (~female(X))) <=> ((~from_mars(X)) | (~female(X)))), ((((~from_mars(X)) | (~female(X))) | liar(X)) <=> (((~from_mars(X)) | (~female(X))) | liar(X)))), rewrite((((~from_mars(X)) | (~female(X))) | liar(X)) <=> ((~from_mars(X)) | liar(X) | (~female(X)))), ((((~from_mars(X)) | (~female(X))) | liar(X)) <=> ((~from_mars(X)) | liar(X) | (~female(X)))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(55,plain,
% 0.20/0.40 (![X: $i] : (((~from_mars(X)) | (~female(X))) | liar(X)) <=> ![X: $i] : ((~from_mars(X)) | liar(X) | (~female(X)))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[54])).
% 0.20/0.40 tff(56,axiom,(![X: $i] : (((~from_mars(X)) | (~female(X))) | liar(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PUZ001-0.ax','marsian_females_are_liars')).
% 0.20/0.40 tff(57,plain,
% 0.20/0.40 (![X: $i] : ((~from_mars(X)) | liar(X) | (~female(X)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[56, 55])).
% 0.20/0.40 tff(58,plain,
% 0.20/0.40 (![X: $i] : ((~from_mars(X)) | liar(X) | (~female(X)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[57, 53])).
% 0.20/0.40 tff(59,plain,(
% 0.20/0.40 ![X: $i] : ((~from_mars(X)) | liar(X) | (~female(X)))),
% 0.20/0.40 inference(skolemize,[status(sab)],[58])).
% 0.20/0.40 tff(60,plain,
% 0.20/0.40 (![X: $i] : ((~from_mars(X)) | liar(X) | (~female(X)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[59, 52])).
% 0.20/0.40 tff(61,plain,
% 0.20/0.40 (((~![X: $i] : ((~from_mars(X)) | liar(X) | (~female(X)))) | (liar(b) | (~from_mars(b)) | (~female(b)))) <=> ((~![X: $i] : ((~from_mars(X)) | liar(X) | (~female(X)))) | liar(b) | (~from_mars(b)) | (~female(b)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(62,plain,
% 0.20/0.40 (((~from_mars(b)) | liar(b) | (~female(b))) <=> (liar(b) | (~from_mars(b)) | (~female(b)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(63,plain,
% 0.20/0.40 (((~![X: $i] : ((~from_mars(X)) | liar(X) | (~female(X)))) | ((~from_mars(b)) | liar(b) | (~female(b)))) <=> ((~![X: $i] : ((~from_mars(X)) | liar(X) | (~female(X)))) | (liar(b) | (~from_mars(b)) | (~female(b))))),
% 0.20/0.40 inference(monotonicity,[status(thm)],[62])).
% 0.20/0.40 tff(64,plain,
% 0.20/0.40 (((~![X: $i] : ((~from_mars(X)) | liar(X) | (~female(X)))) | ((~from_mars(b)) | liar(b) | (~female(b)))) <=> ((~![X: $i] : ((~from_mars(X)) | liar(X) | (~female(X)))) | liar(b) | (~from_mars(b)) | (~female(b)))),
% 0.20/0.40 inference(transitivity,[status(thm)],[63, 61])).
% 0.20/0.40 tff(65,plain,
% 0.20/0.40 ((~![X: $i] : ((~from_mars(X)) | liar(X) | (~female(X)))) | ((~from_mars(b)) | liar(b) | (~female(b)))),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(66,plain,
% 0.20/0.40 ((~![X: $i] : ((~from_mars(X)) | liar(X) | (~female(X)))) | liar(b) | (~from_mars(b)) | (~female(b))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[65, 64])).
% 0.20/0.40 tff(67,plain,
% 0.20/0.40 (~female(b)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[66, 60, 50, 44])).
% 0.20/0.40 tff(68,plain,
% 0.20/0.40 (says(a, a_from_mars) <=> says(a, statement_by(a))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(69,plain,
% 0.20/0.40 (says(a, a_from_mars) <=> says(a, a_from_mars)),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(70,axiom,(says(a, a_from_mars)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','a_says_hes_from_mars')).
% 0.20/0.40 tff(71,plain,
% 0.20/0.40 (says(a, a_from_mars)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[70, 69])).
% 0.20/0.40 tff(72,plain,
% 0.20/0.40 (says(a, statement_by(a))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[71, 68])).
% 0.20/0.40 tff(73,plain,
% 0.20/0.40 (^[Y: $i, X: $i] : refl(((~truthteller(X)) | a_truth(Y) | (~says(X, Y))) <=> ((~truthteller(X)) | a_truth(Y) | (~says(X, Y))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(74,plain,
% 0.20/0.40 (![Y: $i, X: $i] : ((~truthteller(X)) | a_truth(Y) | (~says(X, Y))) <=> ![Y: $i, X: $i] : ((~truthteller(X)) | a_truth(Y) | (~says(X, Y)))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[73])).
% 0.20/0.40 tff(75,plain,
% 0.20/0.40 (![Y: $i, X: $i] : ((~truthteller(X)) | a_truth(Y) | (~says(X, Y))) <=> ![Y: $i, X: $i] : ((~truthteller(X)) | a_truth(Y) | (~says(X, Y)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(76,plain,
% 0.20/0.40 (^[Y: $i, X: $i] : rewrite((((~truthteller(X)) | (~says(X, Y))) | a_truth(Y)) <=> ((~truthteller(X)) | a_truth(Y) | (~says(X, Y))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(77,plain,
% 0.20/0.40 (![Y: $i, X: $i] : (((~truthteller(X)) | (~says(X, Y))) | a_truth(Y)) <=> ![Y: $i, X: $i] : ((~truthteller(X)) | a_truth(Y) | (~says(X, Y)))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[76])).
% 0.20/0.40 tff(78,axiom,(![Y: $i, X: $i] : (((~truthteller(X)) | (~says(X, Y))) | a_truth(Y))), file('/export/starexec/sandbox2/benchmark/Axioms/PUZ001-0.ax','truthtellers_make_true_statements')).
% 0.20/0.40 tff(79,plain,
% 0.20/0.40 (![Y: $i, X: $i] : ((~truthteller(X)) | a_truth(Y) | (~says(X, Y)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[78, 77])).
% 0.20/0.40 tff(80,plain,
% 0.20/0.40 (![Y: $i, X: $i] : ((~truthteller(X)) | a_truth(Y) | (~says(X, Y)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[79, 75])).
% 0.20/0.40 tff(81,plain,(
% 0.20/0.40 ![Y: $i, X: $i] : ((~truthteller(X)) | a_truth(Y) | (~says(X, Y)))),
% 0.20/0.40 inference(skolemize,[status(sab)],[80])).
% 0.20/0.40 tff(82,plain,
% 0.20/0.40 (![Y: $i, X: $i] : ((~truthteller(X)) | a_truth(Y) | (~says(X, Y)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[81, 74])).
% 0.20/0.40 tff(83,plain,
% 0.20/0.40 (((~![Y: $i, X: $i] : ((~truthteller(X)) | a_truth(Y) | (~says(X, Y)))) | (a_truth(statement_by(a)) | (~says(a, statement_by(a))) | (~truthteller(a)))) <=> ((~![Y: $i, X: $i] : ((~truthteller(X)) | a_truth(Y) | (~says(X, Y)))) | a_truth(statement_by(a)) | (~says(a, statement_by(a))) | (~truthteller(a)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(84,plain,
% 0.20/0.40 (((~truthteller(a)) | a_truth(statement_by(a)) | (~says(a, statement_by(a)))) <=> (a_truth(statement_by(a)) | (~says(a, statement_by(a))) | (~truthteller(a)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(85,plain,
% 0.20/0.40 (((~![Y: $i, X: $i] : ((~truthteller(X)) | a_truth(Y) | (~says(X, Y)))) | ((~truthteller(a)) | a_truth(statement_by(a)) | (~says(a, statement_by(a))))) <=> ((~![Y: $i, X: $i] : ((~truthteller(X)) | a_truth(Y) | (~says(X, Y)))) | (a_truth(statement_by(a)) | (~says(a, statement_by(a))) | (~truthteller(a))))),
% 0.20/0.40 inference(monotonicity,[status(thm)],[84])).
% 0.20/0.40 tff(86,plain,
% 0.20/0.40 (((~![Y: $i, X: $i] : ((~truthteller(X)) | a_truth(Y) | (~says(X, Y)))) | ((~truthteller(a)) | a_truth(statement_by(a)) | (~says(a, statement_by(a))))) <=> ((~![Y: $i, X: $i] : ((~truthteller(X)) | a_truth(Y) | (~says(X, Y)))) | a_truth(statement_by(a)) | (~says(a, statement_by(a))) | (~truthteller(a)))),
% 0.20/0.40 inference(transitivity,[status(thm)],[85, 83])).
% 0.20/0.40 tff(87,plain,
% 0.20/0.40 ((~![Y: $i, X: $i] : ((~truthteller(X)) | a_truth(Y) | (~says(X, Y)))) | ((~truthteller(a)) | a_truth(statement_by(a)) | (~says(a, statement_by(a))))),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(88,plain,
% 0.20/0.40 ((~![Y: $i, X: $i] : ((~truthteller(X)) | a_truth(Y) | (~says(X, Y)))) | a_truth(statement_by(a)) | (~says(a, statement_by(a))) | (~truthteller(a))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[87, 86])).
% 0.20/0.40 tff(89,plain,
% 0.20/0.40 (a_truth(statement_by(a)) | (~truthteller(a))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[88, 82, 72])).
% 0.20/0.40 tff(90,plain,
% 0.20/0.40 (~truthteller(a)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[89, 18])).
% 0.20/0.40 tff(91,plain,
% 0.20/0.40 (^[X: $i] : refl(((~from_venus(X)) | truthteller(X) | (~female(X))) <=> ((~from_venus(X)) | truthteller(X) | (~female(X))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(92,plain,
% 0.20/0.40 (![X: $i] : ((~from_venus(X)) | truthteller(X) | (~female(X))) <=> ![X: $i] : ((~from_venus(X)) | truthteller(X) | (~female(X)))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[91])).
% 0.20/0.40 tff(93,plain,
% 0.20/0.40 (![X: $i] : ((~from_venus(X)) | truthteller(X) | (~female(X))) <=> ![X: $i] : ((~from_venus(X)) | truthteller(X) | (~female(X)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(94,plain,
% 0.20/0.40 (^[X: $i] : trans(monotonicity(rewrite(((~from_venus(X)) | (~female(X))) <=> ((~from_venus(X)) | (~female(X)))), ((((~from_venus(X)) | (~female(X))) | truthteller(X)) <=> (((~from_venus(X)) | (~female(X))) | truthteller(X)))), rewrite((((~from_venus(X)) | (~female(X))) | truthteller(X)) <=> ((~from_venus(X)) | truthteller(X) | (~female(X)))), ((((~from_venus(X)) | (~female(X))) | truthteller(X)) <=> ((~from_venus(X)) | truthteller(X) | (~female(X)))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(95,plain,
% 0.20/0.40 (![X: $i] : (((~from_venus(X)) | (~female(X))) | truthteller(X)) <=> ![X: $i] : ((~from_venus(X)) | truthteller(X) | (~female(X)))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[94])).
% 0.20/0.40 tff(96,axiom,(![X: $i] : (((~from_venus(X)) | (~female(X))) | truthteller(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PUZ001-0.ax','venusian_female_are_truthtellers')).
% 0.20/0.40 tff(97,plain,
% 0.20/0.40 (![X: $i] : ((~from_venus(X)) | truthteller(X) | (~female(X)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[96, 95])).
% 0.20/0.40 tff(98,plain,
% 0.20/0.40 (![X: $i] : ((~from_venus(X)) | truthteller(X) | (~female(X)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[97, 93])).
% 0.20/0.40 tff(99,plain,(
% 0.20/0.40 ![X: $i] : ((~from_venus(X)) | truthteller(X) | (~female(X)))),
% 0.20/0.40 inference(skolemize,[status(sab)],[98])).
% 0.20/0.40 tff(100,plain,
% 0.20/0.40 (![X: $i] : ((~from_venus(X)) | truthteller(X) | (~female(X)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[99, 92])).
% 0.20/0.40 tff(101,plain,
% 0.20/0.40 (((~![X: $i] : ((~from_venus(X)) | truthteller(X) | (~female(X)))) | ((~female(a)) | truthteller(a) | (~from_venus(a)))) <=> ((~![X: $i] : ((~from_venus(X)) | truthteller(X) | (~female(X)))) | (~female(a)) | truthteller(a) | (~from_venus(a)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(102,plain,
% 0.20/0.40 (((~from_venus(a)) | truthteller(a) | (~female(a))) <=> ((~female(a)) | truthteller(a) | (~from_venus(a)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(103,plain,
% 0.20/0.40 (((~![X: $i] : ((~from_venus(X)) | truthteller(X) | (~female(X)))) | ((~from_venus(a)) | truthteller(a) | (~female(a)))) <=> ((~![X: $i] : ((~from_venus(X)) | truthteller(X) | (~female(X)))) | ((~female(a)) | truthteller(a) | (~from_venus(a))))),
% 0.20/0.40 inference(monotonicity,[status(thm)],[102])).
% 0.20/0.40 tff(104,plain,
% 0.20/0.40 (((~![X: $i] : ((~from_venus(X)) | truthteller(X) | (~female(X)))) | ((~from_venus(a)) | truthteller(a) | (~female(a)))) <=> ((~![X: $i] : ((~from_venus(X)) | truthteller(X) | (~female(X)))) | (~female(a)) | truthteller(a) | (~from_venus(a)))),
% 0.20/0.40 inference(transitivity,[status(thm)],[103, 101])).
% 0.20/0.40 tff(105,plain,
% 0.20/0.40 ((~![X: $i] : ((~from_venus(X)) | truthteller(X) | (~female(X)))) | ((~from_venus(a)) | truthteller(a) | (~female(a)))),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(106,plain,
% 0.20/0.40 ((~![X: $i] : ((~from_venus(X)) | truthteller(X) | (~female(X)))) | (~female(a)) | truthteller(a) | (~from_venus(a))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[105, 104])).
% 0.20/0.40 tff(107,plain,
% 0.20/0.40 ((~female(a)) | truthteller(a)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[106, 100, 1])).
% 0.20/0.40 tff(108,plain,
% 0.20/0.40 (~female(a)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[107, 90])).
% 0.20/0.40 tff(109,plain,
% 0.20/0.40 (^[X: $i] : refl((female(X) | male(X)) <=> (female(X) | male(X)))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(110,plain,
% 0.20/0.40 (![X: $i] : (female(X) | male(X)) <=> ![X: $i] : (female(X) | male(X))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[109])).
% 0.20/0.40 tff(111,plain,
% 0.20/0.40 (![X: $i] : (female(X) | male(X)) <=> ![X: $i] : (female(X) | male(X))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(112,plain,
% 0.20/0.40 (^[X: $i] : rewrite((male(X) | female(X)) <=> (female(X) | male(X)))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(113,plain,
% 0.20/0.40 (![X: $i] : (male(X) | female(X)) <=> ![X: $i] : (female(X) | male(X))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[112])).
% 0.20/0.40 tff(114,axiom,(![X: $i] : (male(X) | female(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PUZ001-0.ax','male_or_female')).
% 0.20/0.40 tff(115,plain,
% 0.20/0.40 (![X: $i] : (female(X) | male(X))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[114, 113])).
% 0.20/0.40 tff(116,plain,
% 0.20/0.40 (![X: $i] : (female(X) | male(X))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[115, 111])).
% 0.20/0.40 tff(117,plain,(
% 0.20/0.40 ![X: $i] : (female(X) | male(X))),
% 0.20/0.40 inference(skolemize,[status(sab)],[116])).
% 0.20/0.40 tff(118,plain,
% 0.20/0.40 (![X: $i] : (female(X) | male(X))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[117, 110])).
% 0.20/0.40 tff(119,plain,
% 0.20/0.40 (((~![X: $i] : (female(X) | male(X))) | (female(a) | male(a))) <=> ((~![X: $i] : (female(X) | male(X))) | female(a) | male(a))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(120,plain,
% 0.20/0.41 ((~![X: $i] : (female(X) | male(X))) | (female(a) | male(a))),
% 0.20/0.41 inference(quant_inst,[status(thm)],[])).
% 0.20/0.41 tff(121,plain,
% 0.20/0.41 ((~![X: $i] : (female(X) | male(X))) | female(a) | male(a)),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[120, 119])).
% 0.20/0.41 tff(122,plain,
% 0.20/0.41 (male(a)),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[121, 118, 108])).
% 0.20/0.41 tff(123,plain,
% 0.20/0.41 (((~male(a)) | female(b)) <=> ((~male(a)) | female(b))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(124,axiom,((~male(a)) | female(b)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','different_sex2')).
% 0.20/0.41 tff(125,plain,
% 0.20/0.41 ((~male(a)) | female(b)),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[124, 123])).
% 0.20/0.41 tff(126,plain,
% 0.20/0.41 ((~male(a)) | female(b)),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[125, 123])).
% 0.20/0.41 tff(127,plain,
% 0.20/0.41 ((~male(a)) | female(b)),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[126, 123])).
% 0.20/0.41 tff(128,plain,
% 0.20/0.41 ((~male(a)) | female(b)),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[127, 123])).
% 0.20/0.41 tff(129,plain,
% 0.20/0.41 ((~male(a)) | female(b)),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[128, 123])).
% 0.20/0.41 tff(130,plain,
% 0.20/0.41 ((~male(a)) | female(b)),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[129, 123])).
% 0.20/0.41 tff(131,plain,
% 0.20/0.41 ((~male(a)) | female(b)),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[130, 123])).
% 0.20/0.41 tff(132,plain,
% 0.20/0.41 ((~male(a)) | female(b)),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[131, 123])).
% 0.20/0.41 tff(133,plain,
% 0.20/0.41 ((~male(a)) | female(b)),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[132, 123])).
% 0.20/0.41 tff(134,plain,
% 0.20/0.41 ($false),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[133, 122, 67])).
% 0.20/0.41 tff(135,plain,(~from_venus(a)), inference(lemma,lemma(discharge,[]))).
% 0.20/0.41 tff(136,plain,
% 0.20/0.41 (^[X: $i] : refl((from_mars(X) | from_venus(X)) <=> (from_mars(X) | from_venus(X)))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(137,plain,
% 0.20/0.41 (![X: $i] : (from_mars(X) | from_venus(X)) <=> ![X: $i] : (from_mars(X) | from_venus(X))),
% 0.20/0.41 inference(quant_intro,[status(thm)],[136])).
% 0.20/0.41 tff(138,plain,
% 0.20/0.41 (![X: $i] : (from_mars(X) | from_venus(X)) <=> ![X: $i] : (from_mars(X) | from_venus(X))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(139,axiom,(![X: $i] : (from_mars(X) | from_venus(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PUZ001-0.ax','from_mars_or_venus')).
% 0.20/0.41 tff(140,plain,
% 0.20/0.41 (![X: $i] : (from_mars(X) | from_venus(X))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[139, 138])).
% 0.20/0.41 tff(141,plain,(
% 0.20/0.41 ![X: $i] : (from_mars(X) | from_venus(X))),
% 0.20/0.41 inference(skolemize,[status(sab)],[140])).
% 0.20/0.41 tff(142,plain,
% 0.20/0.41 (![X: $i] : (from_mars(X) | from_venus(X))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[141, 137])).
% 0.20/0.41 tff(143,plain,
% 0.20/0.41 (((~![X: $i] : (from_mars(X) | from_venus(X))) | (from_mars(a) | from_venus(a))) <=> ((~![X: $i] : (from_mars(X) | from_venus(X))) | from_mars(a) | from_venus(a))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(144,plain,
% 0.20/0.41 ((~![X: $i] : (from_mars(X) | from_venus(X))) | (from_mars(a) | from_venus(a))),
% 0.20/0.41 inference(quant_inst,[status(thm)],[])).
% 0.20/0.41 tff(145,plain,
% 0.20/0.41 ((~![X: $i] : (from_mars(X) | from_venus(X))) | from_mars(a) | from_venus(a)),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[144, 143])).
% 0.20/0.41 tff(146,plain,
% 0.20/0.41 (from_mars(a)),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[145, 142, 135])).
% 0.20/0.41 tff(147,plain,
% 0.20/0.41 ((a_truth(a_from_mars) | (~from_mars(a))) <=> (a_truth(statement_by(a)) | (~from_mars(a)))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(148,plain,
% 0.20/0.41 ((a_truth(a_from_mars) | (~from_mars(a))) <=> (a_truth(a_from_mars) | (~from_mars(a)))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(149,plain,
% 0.20/0.41 (((~from_mars(a)) | a_truth(a_from_mars)) <=> (a_truth(a_from_mars) | (~from_mars(a)))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(150,axiom,((~from_mars(a)) | a_truth(a_from_mars)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','a_from_mars1')).
% 0.20/0.41 tff(151,plain,
% 0.20/0.41 (a_truth(a_from_mars) | (~from_mars(a))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[150, 149])).
% 0.20/0.41 tff(152,plain,
% 0.20/0.41 (a_truth(a_from_mars) | (~from_mars(a))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[151, 148])).
% 0.20/0.41 tff(153,plain,
% 0.20/0.41 (a_truth(statement_by(a)) | (~from_mars(a))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[152, 147])).
% 0.20/0.41 tff(154,plain,
% 0.20/0.41 (a_truth(statement_by(a))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[153, 146])).
% 0.20/0.41 tff(155,plain,
% 0.20/0.41 (((~a_truth(a_from_mars)) | (~a_truth(statement_by(b)))) <=> ((~a_truth(statement_by(a))) | (~a_truth(statement_by(b))))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(156,plain,
% 0.20/0.41 (((~a_truth(a_from_mars)) | (~a_truth(statement_by(b)))) <=> ((~a_truth(a_from_mars)) | (~a_truth(statement_by(b))))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(157,axiom,((~a_truth(a_from_mars)) | (~a_truth(statement_by(b)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','a_from_mars3')).
% 0.20/0.41 tff(158,plain,
% 0.20/0.41 ((~a_truth(a_from_mars)) | (~a_truth(statement_by(b)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[157, 156])).
% 0.20/0.41 tff(159,plain,
% 0.20/0.41 ((~a_truth(statement_by(a))) | (~a_truth(statement_by(b)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[158, 155])).
% 0.20/0.41 tff(160,plain,
% 0.20/0.41 (~a_truth(statement_by(b))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[159, 154])).
% 0.20/0.41 tff(161,plain,
% 0.20/0.41 (((~![Y: $i, X: $i] : ((~truthteller(X)) | a_truth(Y) | (~says(X, Y)))) | (a_truth(statement_by(b)) | (~says(b, statement_by(b))) | (~truthteller(b)))) <=> ((~![Y: $i, X: $i] : ((~truthteller(X)) | a_truth(Y) | (~says(X, Y)))) | a_truth(statement_by(b)) | (~says(b, statement_by(b))) | (~truthteller(b)))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(162,plain,
% 0.20/0.41 (((~truthteller(b)) | a_truth(statement_by(b)) | (~says(b, statement_by(b)))) <=> (a_truth(statement_by(b)) | (~says(b, statement_by(b))) | (~truthteller(b)))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(163,plain,
% 0.20/0.41 (((~![Y: $i, X: $i] : ((~truthteller(X)) | a_truth(Y) | (~says(X, Y)))) | ((~truthteller(b)) | a_truth(statement_by(b)) | (~says(b, statement_by(b))))) <=> ((~![Y: $i, X: $i] : ((~truthteller(X)) | a_truth(Y) | (~says(X, Y)))) | (a_truth(statement_by(b)) | (~says(b, statement_by(b))) | (~truthteller(b))))),
% 0.20/0.41 inference(monotonicity,[status(thm)],[162])).
% 0.20/0.41 tff(164,plain,
% 0.20/0.41 (((~![Y: $i, X: $i] : ((~truthteller(X)) | a_truth(Y) | (~says(X, Y)))) | ((~truthteller(b)) | a_truth(statement_by(b)) | (~says(b, statement_by(b))))) <=> ((~![Y: $i, X: $i] : ((~truthteller(X)) | a_truth(Y) | (~says(X, Y)))) | a_truth(statement_by(b)) | (~says(b, statement_by(b))) | (~truthteller(b)))),
% 0.20/0.41 inference(transitivity,[status(thm)],[163, 161])).
% 0.20/0.41 tff(165,plain,
% 0.20/0.41 ((~![Y: $i, X: $i] : ((~truthteller(X)) | a_truth(Y) | (~says(X, Y)))) | ((~truthteller(b)) | a_truth(statement_by(b)) | (~says(b, statement_by(b))))),
% 0.20/0.41 inference(quant_inst,[status(thm)],[])).
% 0.20/0.41 tff(166,plain,
% 0.20/0.41 ((~![Y: $i, X: $i] : ((~truthteller(X)) | a_truth(Y) | (~says(X, Y)))) | a_truth(statement_by(b)) | (~says(b, statement_by(b))) | (~truthteller(b))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[165, 164])).
% 0.20/0.41 tff(167,plain,
% 0.20/0.41 (a_truth(statement_by(b)) | (~truthteller(b))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[166, 82, 29])).
% 0.20/0.41 tff(168,plain,
% 0.20/0.41 (~truthteller(b)),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[167, 160])).
% 0.20/0.41 tff(169,plain,
% 0.20/0.41 ((from_venus(a) | from_venus(b)) <=> (from_venus(a) | from_venus(b))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(170,axiom,(from_venus(a) | from_venus(b)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','one_from_venus')).
% 0.20/0.41 tff(171,plain,
% 0.20/0.41 (from_venus(a) | from_venus(b)),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[170, 169])).
% 0.20/0.41 tff(172,plain,
% 0.20/0.41 (from_venus(b)),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[171, 135])).
% 0.20/0.41 tff(173,plain,
% 0.20/0.41 (((~![X: $i] : ((~from_venus(X)) | truthteller(X) | (~female(X)))) | (truthteller(b) | (~female(b)) | (~from_venus(b)))) <=> ((~![X: $i] : ((~from_venus(X)) | truthteller(X) | (~female(X)))) | truthteller(b) | (~female(b)) | (~from_venus(b)))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(174,plain,
% 0.20/0.41 (((~from_venus(b)) | truthteller(b) | (~female(b))) <=> (truthteller(b) | (~female(b)) | (~from_venus(b)))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(175,plain,
% 0.20/0.41 (((~![X: $i] : ((~from_venus(X)) | truthteller(X) | (~female(X)))) | ((~from_venus(b)) | truthteller(b) | (~female(b)))) <=> ((~![X: $i] : ((~from_venus(X)) | truthteller(X) | (~female(X)))) | (truthteller(b) | (~female(b)) | (~from_venus(b))))),
% 0.20/0.41 inference(monotonicity,[status(thm)],[174])).
% 0.20/0.41 tff(176,plain,
% 0.20/0.41 (((~![X: $i] : ((~from_venus(X)) | truthteller(X) | (~female(X)))) | ((~from_venus(b)) | truthteller(b) | (~female(b)))) <=> ((~![X: $i] : ((~from_venus(X)) | truthteller(X) | (~female(X)))) | truthteller(b) | (~female(b)) | (~from_venus(b)))),
% 0.20/0.41 inference(transitivity,[status(thm)],[175, 173])).
% 0.20/0.41 tff(177,plain,
% 0.20/0.41 ((~![X: $i] : ((~from_venus(X)) | truthteller(X) | (~female(X)))) | ((~from_venus(b)) | truthteller(b) | (~female(b)))),
% 0.20/0.41 inference(quant_inst,[status(thm)],[])).
% 0.20/0.41 tff(178,plain,
% 0.20/0.41 ((~![X: $i] : ((~from_venus(X)) | truthteller(X) | (~female(X)))) | truthteller(b) | (~female(b)) | (~from_venus(b))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[177, 176])).
% 0.20/0.41 tff(179,plain,
% 0.20/0.41 (truthteller(b) | (~female(b))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[178, 100, 172])).
% 0.20/0.41 tff(180,plain,
% 0.20/0.41 (~female(b)),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[179, 168])).
% 0.20/0.41 tff(181,plain,
% 0.20/0.41 (~male(a)),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[133, 180])).
% 0.20/0.41 tff(182,plain,
% 0.20/0.41 (((~![Y: $i, X: $i] : ((~liar(X)) | (~a_truth(Y)) | (~says(X, Y)))) | ((~liar(a)) | (~a_truth(statement_by(a))) | (~says(a, statement_by(a))))) <=> ((~![Y: $i, X: $i] : ((~liar(X)) | (~a_truth(Y)) | (~says(X, Y)))) | (~liar(a)) | (~a_truth(statement_by(a))) | (~says(a, statement_by(a))))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(183,plain,
% 0.20/0.41 ((~![Y: $i, X: $i] : ((~liar(X)) | (~a_truth(Y)) | (~says(X, Y)))) | ((~liar(a)) | (~a_truth(statement_by(a))) | (~says(a, statement_by(a))))),
% 0.20/0.41 inference(quant_inst,[status(thm)],[])).
% 0.20/0.41 tff(184,plain,
% 0.20/0.41 ((~![Y: $i, X: $i] : ((~liar(X)) | (~a_truth(Y)) | (~says(X, Y)))) | (~liar(a)) | (~a_truth(statement_by(a))) | (~says(a, statement_by(a)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[183, 182])).
% 0.20/0.41 tff(185,plain,
% 0.20/0.41 ((~liar(a)) | (~a_truth(statement_by(a)))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[184, 39, 72])).
% 0.20/0.41 tff(186,plain,
% 0.20/0.41 (~liar(a)),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[185, 154])).
% 0.20/0.41 tff(187,plain,
% 0.20/0.41 (((~![X: $i] : ((~from_mars(X)) | liar(X) | (~female(X)))) | ((~from_mars(a)) | (~female(a)) | liar(a))) <=> ((~![X: $i] : ((~from_mars(X)) | liar(X) | (~female(X)))) | (~from_mars(a)) | (~female(a)) | liar(a))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(188,plain,
% 0.20/0.41 (((~from_mars(a)) | liar(a) | (~female(a))) <=> ((~from_mars(a)) | (~female(a)) | liar(a))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(189,plain,
% 0.20/0.41 (((~![X: $i] : ((~from_mars(X)) | liar(X) | (~female(X)))) | ((~from_mars(a)) | liar(a) | (~female(a)))) <=> ((~![X: $i] : ((~from_mars(X)) | liar(X) | (~female(X)))) | ((~from_mars(a)) | (~female(a)) | liar(a)))),
% 0.20/0.41 inference(monotonicity,[status(thm)],[188])).
% 0.20/0.41 tff(190,plain,
% 0.20/0.41 (((~![X: $i] : ((~from_mars(X)) | liar(X) | (~female(X)))) | ((~from_mars(a)) | liar(a) | (~female(a)))) <=> ((~![X: $i] : ((~from_mars(X)) | liar(X) | (~female(X)))) | (~from_mars(a)) | (~female(a)) | liar(a))),
% 0.20/0.41 inference(transitivity,[status(thm)],[189, 187])).
% 0.20/0.41 tff(191,plain,
% 0.20/0.41 ((~![X: $i] : ((~from_mars(X)) | liar(X) | (~female(X)))) | ((~from_mars(a)) | liar(a) | (~female(a)))),
% 0.20/0.41 inference(quant_inst,[status(thm)],[])).
% 0.20/0.41 tff(192,plain,
% 0.20/0.41 ((~![X: $i] : ((~from_mars(X)) | liar(X) | (~female(X)))) | (~from_mars(a)) | (~female(a)) | liar(a)),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[191, 190])).
% 0.20/0.41 tff(193,plain,
% 0.20/0.41 (~female(a)),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[192, 60, 146, 186])).
% 0.20/0.41 tff(194,plain,
% 0.20/0.41 ($false),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[121, 118, 193, 181])).
% 0.20/0.41 % SZS output end Proof
%------------------------------------------------------------------------------