TSTP Solution File: SYN039-1 by Leo-III---1.7.7
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN039-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n013.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 : Fri May 19 12:27:01 EDT 2023
% Result : Unsatisfiable 3.96s 2.00s
% Output : Refutation 3.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 31
% Syntax : Number of formulae : 59 ( 1 unt; 4 typ; 0 def)
% Number of atoms : 163 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 738 ( 90 ~; 108 |; 0 &; 540 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 168 ( 0 ^; 168 !; 0 ?; 168 :)
% Comments :
%------------------------------------------------------------------------------
thf(p_type,type,
p: $i > $i > $o ).
thf(f1_type,type,
f1: $i > $i > $i ).
thf(s_type,type,
s: $i > $i > $o ).
thf(q_type,type,
q: $i > $i > $o ).
thf(27,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( s @ A @ B )
| ~ ( q @ C @ C )
| ~ ( s @ D @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_27) ).
thf(52,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( s @ A @ B )
| ~ ( q @ C @ C )
| ~ ( s @ D @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(26,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( s @ A @ B )
| ~ ( q @ C @ C )
| ( q @ ( f1 @ B @ D ) @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_26) ).
thf(53,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( s @ A @ B )
| ~ ( q @ C @ C )
| ( q @ ( f1 @ B @ D ) @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(3,negated_conjecture,
! [B: $i,A: $i] :
( ( p @ ( f1 @ A @ B ) @ ( f1 @ A @ B ) )
| ~ ( s @ A @ ( f1 @ A @ B ) )
| ~ ( s @ B @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_3) ).
thf(41,plain,
! [B: $i,A: $i] :
( ( p @ ( f1 @ A @ B ) @ ( f1 @ A @ B ) )
| ~ ( s @ A @ ( f1 @ A @ B ) )
| ~ ( s @ B @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(11,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( p @ A @ A )
| ~ ( s @ A @ ( f1 @ A @ B ) )
| ( q @ ( f1 @ A @ B ) @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_11) ).
thf(44,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( p @ A @ A )
| ~ ( s @ A @ ( f1 @ A @ B ) )
| ( q @ ( f1 @ A @ B ) @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(12,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( p @ A @ A )
| ~ ( s @ A @ ( f1 @ A @ B ) )
| ~ ( s @ B @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_12) ).
thf(39,plain,
! [B: $i,A: $i] :
( ~ ( p @ A @ A )
| ~ ( s @ A @ ( f1 @ A @ B ) )
| ~ ( s @ B @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(9,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p @ ( f1 @ A @ B ) @ ( f1 @ A @ B ) )
| ~ ( q @ C @ C )
| ~ ( s @ B @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_9) ).
thf(35,plain,
! [C: $i,B: $i,A: $i] :
( ( p @ ( f1 @ A @ B ) @ ( f1 @ A @ B ) )
| ~ ( q @ C @ C )
| ~ ( s @ B @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(15,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( p @ A @ A )
| ( s @ ( f1 @ A @ B ) @ C )
| ~ ( s @ B @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_15) ).
thf(48,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( p @ A @ A )
| ( s @ ( f1 @ A @ B ) @ C )
| ~ ( s @ B @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(16,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( p @ A @ A )
| ~ ( q @ B @ B )
| ~ ( q @ C @ ( f1 @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_16) ).
thf(43,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( p @ A @ A )
| ~ ( q @ B @ B )
| ~ ( q @ C @ ( f1 @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(7,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p @ ( f1 @ A @ B ) @ ( f1 @ A @ B ) )
| ~ ( q @ C @ C )
| ~ ( q @ B @ ( f1 @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_7) ).
thf(40,plain,
! [C: $i,B: $i,A: $i] :
( ( p @ ( f1 @ A @ B ) @ ( f1 @ A @ B ) )
| ~ ( q @ C @ C )
| ~ ( q @ B @ ( f1 @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(4,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p @ ( f1 @ A @ B ) @ ( f1 @ A @ B ) )
| ( s @ ( f1 @ A @ B ) @ C )
| ~ ( q @ B @ ( f1 @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_4) ).
thf(47,plain,
! [C: $i,B: $i,A: $i] :
( ( p @ ( f1 @ A @ B ) @ ( f1 @ A @ B ) )
| ( s @ ( f1 @ A @ B ) @ C )
| ~ ( q @ B @ ( f1 @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(18,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( p @ A @ A )
| ~ ( q @ B @ B )
| ~ ( s @ C @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_18) ).
thf(42,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( p @ A @ A )
| ~ ( q @ B @ B )
| ~ ( s @ C @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(2,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p @ ( f1 @ A @ B ) @ ( f1 @ A @ B ) )
| ~ ( s @ A @ ( f1 @ A @ B ) )
| ( q @ ( f1 @ A @ B ) @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_2) ).
thf(37,plain,
! [C: $i,B: $i,A: $i] :
( ( p @ ( f1 @ A @ B ) @ ( f1 @ A @ B ) )
| ~ ( s @ A @ ( f1 @ A @ B ) )
| ( q @ ( f1 @ A @ B ) @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(19,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( s @ A @ B )
| ~ ( s @ B @ ( f1 @ B @ C ) )
| ~ ( q @ C @ ( f1 @ B @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_19) ).
thf(46,plain,
! [C: $i,B: $i,A: $i] :
( ( s @ A @ B )
| ~ ( s @ B @ ( f1 @ B @ C ) )
| ~ ( q @ C @ ( f1 @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(10,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( p @ A @ A )
| ~ ( s @ A @ ( f1 @ A @ B ) )
| ~ ( q @ B @ ( f1 @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_10) ).
thf(29,plain,
! [B: $i,A: $i] :
( ~ ( p @ A @ A )
| ~ ( s @ A @ ( f1 @ A @ B ) )
| ~ ( q @ B @ ( f1 @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(6,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p @ ( f1 @ A @ B ) @ ( f1 @ A @ B ) )
| ( s @ ( f1 @ A @ B ) @ C )
| ~ ( s @ B @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_6) ).
thf(33,plain,
! [C: $i,B: $i,A: $i] :
( ( p @ ( f1 @ A @ B ) @ ( f1 @ A @ B ) )
| ( s @ ( f1 @ A @ B ) @ C )
| ~ ( s @ B @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(5,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p @ ( f1 @ A @ B ) @ ( f1 @ A @ B ) )
| ( s @ ( f1 @ A @ B ) @ C )
| ( q @ ( f1 @ A @ B ) @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_5) ).
thf(28,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p @ ( f1 @ A @ B ) @ ( f1 @ A @ B ) )
| ( s @ ( f1 @ A @ B ) @ C )
| ( q @ ( f1 @ A @ B ) @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(17,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( p @ A @ A )
| ~ ( q @ B @ B )
| ( q @ ( f1 @ A @ C ) @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_17) ).
thf(38,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( p @ A @ A )
| ~ ( q @ B @ B )
| ( q @ ( f1 @ A @ C ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(8,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p @ ( f1 @ A @ B ) @ ( f1 @ A @ B ) )
| ~ ( q @ C @ C )
| ( q @ ( f1 @ A @ B ) @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_8) ).
thf(45,plain,
! [C: $i,B: $i,A: $i] :
( ( p @ ( f1 @ A @ B ) @ ( f1 @ A @ B ) )
| ~ ( q @ C @ C )
| ( q @ ( f1 @ A @ B ) @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(1,negated_conjecture,
! [B: $i,A: $i] :
( ( p @ ( f1 @ A @ B ) @ ( f1 @ A @ B ) )
| ~ ( s @ A @ ( f1 @ A @ B ) )
| ~ ( q @ B @ ( f1 @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_1) ).
thf(32,plain,
! [B: $i,A: $i] :
( ( p @ ( f1 @ A @ B ) @ ( f1 @ A @ B ) )
| ~ ( s @ A @ ( f1 @ A @ B ) )
| ~ ( q @ B @ ( f1 @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(21,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( s @ A @ B )
| ~ ( s @ B @ ( f1 @ B @ C ) )
| ~ ( s @ C @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_21) ).
thf(34,plain,
! [C: $i,B: $i,A: $i] :
( ( s @ A @ B )
| ~ ( s @ B @ ( f1 @ B @ C ) )
| ~ ( s @ C @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(23,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( s @ A @ B )
| ( s @ ( f1 @ B @ C ) @ A )
| ( q @ ( f1 @ B @ C ) @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_23) ).
thf(54,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( s @ A @ B )
| ( s @ ( f1 @ B @ C ) @ A )
| ( q @ ( f1 @ B @ C ) @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(24,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( s @ A @ B )
| ( s @ ( f1 @ B @ C ) @ A )
| ~ ( s @ C @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_24) ).
thf(49,plain,
! [C: $i,B: $i,A: $i] :
( ( s @ A @ B )
| ( s @ ( f1 @ B @ C ) @ A )
| ~ ( s @ C @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(25,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( s @ A @ B )
| ~ ( q @ C @ C )
| ~ ( q @ D @ ( f1 @ B @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_25) ).
thf(50,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( s @ A @ B )
| ~ ( q @ C @ C )
| ~ ( q @ D @ ( f1 @ B @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(20,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( s @ A @ B )
| ~ ( s @ B @ ( f1 @ B @ C ) )
| ( q @ ( f1 @ B @ C ) @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_20) ).
thf(31,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( s @ A @ B )
| ~ ( s @ B @ ( f1 @ B @ C ) )
| ( q @ ( f1 @ B @ C ) @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(13,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( p @ A @ A )
| ( s @ ( f1 @ A @ B ) @ C )
| ~ ( q @ B @ ( f1 @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_13) ).
thf(36,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( p @ A @ A )
| ( s @ ( f1 @ A @ B ) @ C )
| ~ ( q @ B @ ( f1 @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(14,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( p @ A @ A )
| ( s @ ( f1 @ A @ B ) @ C )
| ( q @ ( f1 @ A @ B ) @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_14) ).
thf(30,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( p @ A @ A )
| ( s @ ( f1 @ A @ B ) @ C )
| ( q @ ( f1 @ A @ B ) @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(22,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( s @ A @ B )
| ( s @ ( f1 @ B @ C ) @ A )
| ~ ( q @ C @ ( f1 @ B @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_22) ).
thf(51,plain,
! [C: $i,B: $i,A: $i] :
( ( s @ A @ B )
| ( s @ ( f1 @ B @ C ) @ A )
| ~ ( q @ C @ ( f1 @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(88,plain,
$false,
inference(e,[status(thm)],[52,53,41,44,39,35,48,43,40,47,42,37,46,29,33,28,38,45,32,34,54,49,50,31,36,30,51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN039-1 : TPTP v8.1.2. Released v1.0.0.
% 0.14/0.15 % Command : run_Leo-III %s %d
% 0.15/0.35 % Computer : n013.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu May 18 19:24:22 EDT 2023
% 0.21/0.36 % CPUTime :
% 0.99/0.89 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.39/1.04 % [INFO] Parsing done (142ms).
% 1.39/1.04 % [INFO] Running in sequential loop mode.
% 1.84/1.26 % [INFO] eprover registered as external prover.
% 1.84/1.26 % [INFO] cvc4 registered as external prover.
% 1.84/1.27 % [INFO] Scanning for conjecture ...
% 2.04/1.35 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 2.17/1.41 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.17/1.41 % [INFO] Problem is propositional (TPTP CNF).
% 2.17/1.42 % [INFO] Type checking passed.
% 2.17/1.42 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 3.96/1.99 % External prover 'e' found a proof!
% 3.96/1.99 % [INFO] Killing All external provers ...
% 3.96/1.99 % Time passed: 1479ms (effective reasoning time: 946ms)
% 3.96/1.99 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 3.96/2.00 % Axioms used in derivation (0):
% 3.96/2.00 % No. of inferences in proof: 55
% 3.96/2.00 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1479 ms resp. 946 ms w/o parsing
% 3.96/2.05 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.96/2.05 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------