TSTP Solution File: ARI751_1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : ARI751_1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n005.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 : Tue Sep 6 17:02:51 EDT 2022
% Result : Unsatisfiable 0.49s 0.62s
% Output : Proof 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ARI751_1 : TPTP v8.1.0. Released v7.0.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 02:12:18 EDT 2022
% 0.14/0.35 % 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.
% 0.49/0.62 % SZS status Unsatisfiable
% 0.49/0.62 % SZS output start Proof
% 0.49/0.62 tff(c_sort_type, type, (
% 0.49/0.62 c_sort: ( c_type * c_unsorted ) > c_sorted)).
% 0.49/0.62 tff(tptp_fun_A__questionmark_return_305_type, type, (
% 0.49/0.62 tptp_fun_A__questionmark_return_305: c_unsorted)).
% 0.49/0.62 tff(int32_type, type, (
% 0.49/0.62 int32: c_type)).
% 0.49/0.62 tff(tptp_fun_A__questionmark_result_303_type, type, (
% 0.49/0.62 tptp_fun_A__questionmark_result_303: c_unsorted)).
% 0.49/0.62 tff(tptp_fun_A__questionmark_smtlib____retres_304_type, type, (
% 0.49/0.62 tptp_fun_A__questionmark_smtlib____retres_304: c_unsorted)).
% 0.49/0.62 tff(integer_of_int32_type, type, (
% 0.49/0.62 integer_of_int32: c_sorted > $int)).
% 0.49/0.62 tff(c_Boolean_true_type, type, (
% 0.49/0.62 c_Boolean_true: c_Boolean)).
% 0.49/0.62 tff(1,plain,
% 0.49/0.62 (^[A__questionmark_v_0_288: c_sorted] : refl(((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return!305))) | (~((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(A__questionmark_v_0_288) = 1)))) <=> ((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return!305))) | (~((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(A__questionmark_v_0_288) = 1)))))),
% 0.49/0.62 inference(bind,[status(th)],[])).
% 0.49/0.62 tff(2,plain,
% 0.49/0.62 (![A__questionmark_v_0_288: c_sorted] : ((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return!305))) | (~((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(A__questionmark_v_0_288) = 1)))) <=> ![A__questionmark_v_0_288: c_sorted] : ((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return!305))) | (~((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(A__questionmark_v_0_288) = 1))))),
% 0.49/0.62 inference(quant_intro,[status(thm)],[1])).
% 0.49/0.62 tff(3,plain,
% 0.49/0.62 (^[A__questionmark_v_0_288: c_sorted] : trans(monotonicity(rewrite(((A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return!305)) & ((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(A__questionmark_v_0_288) = 1))) <=> (~((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return!305))) | (~((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(A__questionmark_v_0_288) = 1)))))), ((~((A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return!305)) & ((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(A__questionmark_v_0_288) = 1)))) <=> (~(~((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return!305))) | (~((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(A__questionmark_v_0_288) = 1)))))))), rewrite((~(~((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return!305))) | (~((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(A__questionmark_v_0_288) = 1)))))) <=> ((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return!305))) | (~((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(A__questionmark_v_0_288) = 1))))), ((~((A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return!305)) & ((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(A__questionmark_v_0_288) = 1)))) <=> ((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return!305))) | (~((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(A__questionmark_v_0_288) = 1))))))),
% 0.49/0.62 inference(bind,[status(th)],[])).
% 0.49/0.62 tff(4,plain,
% 0.49/0.62 (![A__questionmark_v_0_288: c_sorted] : (~((A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return!305)) & ((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(A__questionmark_v_0_288) = 1)))) <=> ![A__questionmark_v_0_288: c_sorted] : ((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return!305))) | (~((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(A__questionmark_v_0_288) = 1))))),
% 0.49/0.62 inference(quant_intro,[status(thm)],[3])).
% 0.49/0.62 tff(5,plain,
% 0.49/0.62 (((integer_of_int32(c_sort(int32, A__questionmark_result!303)) = 1) & ((c_sort(int32, A__questionmark_smtlib____retres!304) = c_sort(int32, A__questionmark_result!303)) & ![A__questionmark_v_0_288: c_sorted] : (~((A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return!305)) & ((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(A__questionmark_v_0_288) = 1)))))) <=> ((integer_of_int32(c_sort(int32, A__questionmark_result!303)) = 1) & (c_sort(int32, A__questionmark_smtlib____retres!304) = c_sort(int32, A__questionmark_result!303)) & ![A__questionmark_v_0_288: c_sorted] : (~((A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return!305)) & ((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(A__questionmark_v_0_288) = 1)))))),
% 0.49/0.62 inference(rewrite,[status(thm)],[])).
% 0.49/0.62 tff(6,plain,
% 0.49/0.62 (((~(~(c_sort(int32, A__questionmark_smtlib____retres!304) = c_sort(int32, A__questionmark_result!303)))) & ![A__questionmark_v_0_288: c_sorted] : (~((A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return!305)) & ((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(A__questionmark_v_0_288) = 1))))) <=> ((c_sort(int32, A__questionmark_smtlib____retres!304) = c_sort(int32, A__questionmark_result!303)) & ![A__questionmark_v_0_288: c_sorted] : (~((A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return!305)) & ((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(A__questionmark_v_0_288) = 1)))))),
% 0.49/0.62 inference(rewrite,[status(thm)],[])).
% 0.49/0.62 tff(7,plain,
% 0.49/0.62 ((~(~(integer_of_int32(c_sort(int32, A__questionmark_result!303)) = 1))) <=> (integer_of_int32(c_sort(int32, A__questionmark_result!303)) = 1)),
% 0.49/0.62 inference(rewrite,[status(thm)],[])).
% 0.49/0.62 tff(8,plain,
% 0.49/0.62 (((~(~(integer_of_int32(c_sort(int32, A__questionmark_result!303)) = 1))) & ((~(~(c_sort(int32, A__questionmark_smtlib____retres!304) = c_sort(int32, A__questionmark_result!303)))) & ![A__questionmark_v_0_288: c_sorted] : (~((A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return!305)) & ((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(A__questionmark_v_0_288) = 1)))))) <=> ((integer_of_int32(c_sort(int32, A__questionmark_result!303)) = 1) & ((c_sort(int32, A__questionmark_smtlib____retres!304) = c_sort(int32, A__questionmark_result!303)) & ![A__questionmark_v_0_288: c_sorted] : (~((A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return!305)) & ((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(A__questionmark_v_0_288) = 1))))))),
% 0.49/0.62 inference(monotonicity,[status(thm)],[7, 6])).
% 0.49/0.62 tff(9,plain,
% 0.49/0.62 (((~(~(integer_of_int32(c_sort(int32, A__questionmark_result!303)) = 1))) & ((~(~(c_sort(int32, A__questionmark_smtlib____retres!304) = c_sort(int32, A__questionmark_result!303)))) & ![A__questionmark_v_0_288: c_sorted] : (~((A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return!305)) & ((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(A__questionmark_v_0_288) = 1)))))) <=> ((integer_of_int32(c_sort(int32, A__questionmark_result!303)) = 1) & (c_sort(int32, A__questionmark_smtlib____retres!304) = c_sort(int32, A__questionmark_result!303)) & ![A__questionmark_v_0_288: c_sorted] : (~((A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return!305)) & ((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(A__questionmark_v_0_288) = 1)))))),
% 0.49/0.62 inference(transitivity,[status(thm)],[8, 5])).
% 0.49/0.62 tff(10,plain,
% 0.49/0.62 ((~![A__questionmark_result: c_unsorted] : ((~(integer_of_int32(c_sort(int32, A__questionmark_result)) = 1)) | ![A__questionmark_smtlib____retres: c_unsorted] : ((~(c_sort(int32, A__questionmark_smtlib____retres) = c_sort(int32, A__questionmark_result))) | ![A__questionmark_return: c_unsorted] : ?[A__questionmark_v_0_288: c_sorted] : ((A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return)) & ((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres))) | (integer_of_int32(A__questionmark_v_0_288) = 1)))))) <=> (~![A__questionmark_result: c_unsorted] : ((~(integer_of_int32(c_sort(int32, A__questionmark_result)) = 1)) | ![A__questionmark_smtlib____retres: c_unsorted] : ((~(c_sort(int32, A__questionmark_smtlib____retres) = c_sort(int32, A__questionmark_result))) | ![A__questionmark_return: c_unsorted] : ?[A__questionmark_v_0_288: c_sorted] : ((A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return)) & ((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres))) | (integer_of_int32(A__questionmark_v_0_288) = 1))))))),
% 0.49/0.62 inference(rewrite,[status(thm)],[])).
% 0.49/0.62 tff(11,plain,
% 0.49/0.62 ((~((c_Boolean_true = c_Boolean_true) => ![A__questionmark_result: c_unsorted] : ((integer_of_int32(c_sort(int32, A__questionmark_result)) = 1) => ![A__questionmark_smtlib____retres: c_unsorted] : ((c_sort(int32, A__questionmark_smtlib____retres) = c_sort(int32, A__questionmark_result)) => ![A__questionmark_return: c_unsorted] : ?[A__questionmark_v_0_288: c_sorted] : ((A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return)) & ((A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres)) => (integer_of_int32(A__questionmark_v_0_288) = 1))))))) <=> (~![A__questionmark_result: c_unsorted] : ((~(integer_of_int32(c_sort(int32, A__questionmark_result)) = 1)) | ![A__questionmark_smtlib____retres: c_unsorted] : ((~(c_sort(int32, A__questionmark_smtlib____retres) = c_sort(int32, A__questionmark_result))) | ![A__questionmark_return: c_unsorted] : ?[A__questionmark_v_0_288: c_sorted] : ((A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return)) & ((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres))) | (integer_of_int32(A__questionmark_v_0_288) = 1))))))),
% 0.49/0.62 inference(rewrite,[status(thm)],[])).
% 0.49/0.62 tff(12,axiom,(~((c_Boolean_true = c_Boolean_true) => ![A__questionmark_result: c_unsorted] : ((integer_of_int32(c_sort(int32, A__questionmark_result)) = 1) => ![A__questionmark_smtlib____retres: c_unsorted] : ((c_sort(int32, A__questionmark_smtlib____retres) = c_sort(int32, A__questionmark_result)) => ![A__questionmark_return: c_unsorted] : ?[A__questionmark_v_0_288: c_sorted] : ((A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return)) & ((A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres)) => (integer_of_int32(A__questionmark_v_0_288) = 1))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','formula_170')).
% 0.49/0.62 tff(13,plain,
% 0.49/0.62 (~![A__questionmark_result: c_unsorted] : ((~(integer_of_int32(c_sort(int32, A__questionmark_result)) = 1)) | ![A__questionmark_smtlib____retres: c_unsorted] : ((~(c_sort(int32, A__questionmark_smtlib____retres) = c_sort(int32, A__questionmark_result))) | ![A__questionmark_return: c_unsorted] : ?[A__questionmark_v_0_288: c_sorted] : ((A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return)) & ((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres))) | (integer_of_int32(A__questionmark_v_0_288) = 1)))))),
% 0.49/0.62 inference(modus_ponens,[status(thm)],[12, 11])).
% 0.49/0.62 tff(14,plain,
% 0.49/0.62 (~![A__questionmark_result: c_unsorted] : ((~(integer_of_int32(c_sort(int32, A__questionmark_result)) = 1)) | ![A__questionmark_smtlib____retres: c_unsorted] : ((~(c_sort(int32, A__questionmark_smtlib____retres) = c_sort(int32, A__questionmark_result))) | ![A__questionmark_return: c_unsorted] : ?[A__questionmark_v_0_288: c_sorted] : ((A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return)) & ((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres))) | (integer_of_int32(A__questionmark_v_0_288) = 1)))))),
% 0.49/0.62 inference(modus_ponens,[status(thm)],[13, 10])).
% 0.49/0.62 tff(15,plain,
% 0.49/0.62 (~![A__questionmark_result: c_unsorted] : ((~(integer_of_int32(c_sort(int32, A__questionmark_result)) = 1)) | ![A__questionmark_smtlib____retres: c_unsorted] : ((~(c_sort(int32, A__questionmark_smtlib____retres) = c_sort(int32, A__questionmark_result))) | ![A__questionmark_return: c_unsorted] : ?[A__questionmark_v_0_288: c_sorted] : ((A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return)) & ((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres))) | (integer_of_int32(A__questionmark_v_0_288) = 1)))))),
% 0.49/0.62 inference(modus_ponens,[status(thm)],[14, 10])).
% 0.49/0.62 tff(16,plain,
% 0.49/0.62 (~![A__questionmark_result: c_unsorted] : ((~(integer_of_int32(c_sort(int32, A__questionmark_result)) = 1)) | ![A__questionmark_smtlib____retres: c_unsorted] : ((~(c_sort(int32, A__questionmark_smtlib____retres) = c_sort(int32, A__questionmark_result))) | ![A__questionmark_return: c_unsorted] : ?[A__questionmark_v_0_288: c_sorted] : ((A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return)) & ((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres))) | (integer_of_int32(A__questionmark_v_0_288) = 1)))))),
% 0.49/0.62 inference(modus_ponens,[status(thm)],[15, 10])).
% 0.49/0.62 tff(17,plain,
% 0.49/0.62 (~![A__questionmark_result: c_unsorted] : ((~(integer_of_int32(c_sort(int32, A__questionmark_result)) = 1)) | ![A__questionmark_smtlib____retres: c_unsorted] : ((~(c_sort(int32, A__questionmark_smtlib____retres) = c_sort(int32, A__questionmark_result))) | ![A__questionmark_return: c_unsorted] : ?[A__questionmark_v_0_288: c_sorted] : ((A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return)) & ((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres))) | (integer_of_int32(A__questionmark_v_0_288) = 1)))))),
% 0.49/0.62 inference(modus_ponens,[status(thm)],[16, 10])).
% 0.49/0.62 tff(18,plain,
% 0.49/0.62 (~![A__questionmark_result: c_unsorted] : ((~(integer_of_int32(c_sort(int32, A__questionmark_result)) = 1)) | ![A__questionmark_smtlib____retres: c_unsorted] : ((~(c_sort(int32, A__questionmark_smtlib____retres) = c_sort(int32, A__questionmark_result))) | ![A__questionmark_return: c_unsorted] : ?[A__questionmark_v_0_288: c_sorted] : ((A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return)) & ((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres))) | (integer_of_int32(A__questionmark_v_0_288) = 1)))))),
% 0.49/0.62 inference(modus_ponens,[status(thm)],[17, 10])).
% 0.49/0.62 tff(19,plain,
% 0.49/0.62 (~![A__questionmark_result: c_unsorted] : ((~(integer_of_int32(c_sort(int32, A__questionmark_result)) = 1)) | ![A__questionmark_smtlib____retres: c_unsorted] : ((~(c_sort(int32, A__questionmark_smtlib____retres) = c_sort(int32, A__questionmark_result))) | ![A__questionmark_return: c_unsorted] : ?[A__questionmark_v_0_288: c_sorted] : ((A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return)) & ((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres))) | (integer_of_int32(A__questionmark_v_0_288) = 1)))))),
% 0.49/0.62 inference(modus_ponens,[status(thm)],[18, 10])).
% 0.49/0.62 tff(20,plain,
% 0.49/0.62 ((integer_of_int32(c_sort(int32, A__questionmark_result!303)) = 1) & (c_sort(int32, A__questionmark_smtlib____retres!304) = c_sort(int32, A__questionmark_result!303)) & ![A__questionmark_v_0_288: c_sorted] : (~((A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return!305)) & ((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(A__questionmark_v_0_288) = 1))))),
% 0.49/0.62 inference(modus_ponens,[status(thm)],[19, 9])).
% 0.49/0.62 tff(21,plain,
% 0.49/0.62 (![A__questionmark_v_0_288: c_sorted] : (~((A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return!305)) & ((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(A__questionmark_v_0_288) = 1))))),
% 0.49/0.62 inference(and_elim,[status(thm)],[20])).
% 0.49/0.62 tff(22,plain,
% 0.49/0.62 (![A__questionmark_v_0_288: c_sorted] : ((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return!305))) | (~((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(A__questionmark_v_0_288) = 1))))),
% 0.49/0.62 inference(modus_ponens,[status(thm)],[21, 4])).
% 0.49/0.62 tff(23,plain,
% 0.49/0.63 (![A__questionmark_v_0_288: c_sorted] : ((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return!305))) | (~((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(A__questionmark_v_0_288) = 1))))),
% 0.49/0.63 inference(modus_ponens,[status(thm)],[22, 2])).
% 0.49/0.63 tff(24,plain,
% 0.49/0.63 (((~![A__questionmark_v_0_288: c_sorted] : ((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return!305))) | (~((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(A__questionmark_v_0_288) = 1))))) | (~((~(c_sort(int32, A__questionmark_return!305) = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(c_sort(int32, A__questionmark_return!305)) = 1)))) <=> ((~![A__questionmark_v_0_288: c_sorted] : ((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return!305))) | (~((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(A__questionmark_v_0_288) = 1))))) | (~((~(c_sort(int32, A__questionmark_return!305) = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(c_sort(int32, A__questionmark_return!305)) = 1))))),
% 0.49/0.63 inference(rewrite,[status(thm)],[])).
% 0.49/0.63 tff(25,plain,
% 0.49/0.63 (($false | (~((~(c_sort(int32, A__questionmark_return!305) = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(c_sort(int32, A__questionmark_return!305)) = 1)))) <=> (~((~(c_sort(int32, A__questionmark_return!305) = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(c_sort(int32, A__questionmark_return!305)) = 1)))),
% 0.49/0.63 inference(rewrite,[status(thm)],[])).
% 0.49/0.63 tff(26,plain,
% 0.49/0.63 ((~$true) <=> $false),
% 0.49/0.63 inference(rewrite,[status(thm)],[])).
% 0.49/0.63 tff(27,plain,
% 0.49/0.63 ((c_sort(int32, A__questionmark_return!305) = c_sort(int32, A__questionmark_return!305)) <=> $true),
% 0.49/0.63 inference(rewrite,[status(thm)],[])).
% 0.49/0.63 tff(28,plain,
% 0.49/0.63 ((~(c_sort(int32, A__questionmark_return!305) = c_sort(int32, A__questionmark_return!305))) <=> (~$true)),
% 0.49/0.63 inference(monotonicity,[status(thm)],[27])).
% 0.49/0.63 tff(29,plain,
% 0.49/0.63 ((~(c_sort(int32, A__questionmark_return!305) = c_sort(int32, A__questionmark_return!305))) <=> $false),
% 0.49/0.63 inference(transitivity,[status(thm)],[28, 26])).
% 0.49/0.63 tff(30,plain,
% 0.49/0.63 (((~(c_sort(int32, A__questionmark_return!305) = c_sort(int32, A__questionmark_return!305))) | (~((~(c_sort(int32, A__questionmark_return!305) = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(c_sort(int32, A__questionmark_return!305)) = 1)))) <=> ($false | (~((~(c_sort(int32, A__questionmark_return!305) = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(c_sort(int32, A__questionmark_return!305)) = 1))))),
% 0.49/0.63 inference(monotonicity,[status(thm)],[29])).
% 0.49/0.63 tff(31,plain,
% 0.49/0.63 (((~(c_sort(int32, A__questionmark_return!305) = c_sort(int32, A__questionmark_return!305))) | (~((~(c_sort(int32, A__questionmark_return!305) = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(c_sort(int32, A__questionmark_return!305)) = 1)))) <=> (~((~(c_sort(int32, A__questionmark_return!305) = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(c_sort(int32, A__questionmark_return!305)) = 1)))),
% 0.49/0.63 inference(transitivity,[status(thm)],[30, 25])).
% 0.49/0.63 tff(32,plain,
% 0.49/0.63 (((~![A__questionmark_v_0_288: c_sorted] : ((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return!305))) | (~((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(A__questionmark_v_0_288) = 1))))) | ((~(c_sort(int32, A__questionmark_return!305) = c_sort(int32, A__questionmark_return!305))) | (~((~(c_sort(int32, A__questionmark_return!305) = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(c_sort(int32, A__questionmark_return!305)) = 1))))) <=> ((~![A__questionmark_v_0_288: c_sorted] : ((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return!305))) | (~((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(A__questionmark_v_0_288) = 1))))) | (~((~(c_sort(int32, A__questionmark_return!305) = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(c_sort(int32, A__questionmark_return!305)) = 1))))),
% 0.49/0.63 inference(monotonicity,[status(thm)],[31])).
% 0.49/0.63 tff(33,plain,
% 0.49/0.63 (((~![A__questionmark_v_0_288: c_sorted] : ((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return!305))) | (~((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(A__questionmark_v_0_288) = 1))))) | ((~(c_sort(int32, A__questionmark_return!305) = c_sort(int32, A__questionmark_return!305))) | (~((~(c_sort(int32, A__questionmark_return!305) = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(c_sort(int32, A__questionmark_return!305)) = 1))))) <=> ((~![A__questionmark_v_0_288: c_sorted] : ((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return!305))) | (~((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(A__questionmark_v_0_288) = 1))))) | (~((~(c_sort(int32, A__questionmark_return!305) = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(c_sort(int32, A__questionmark_return!305)) = 1))))),
% 0.49/0.63 inference(transitivity,[status(thm)],[32, 24])).
% 0.49/0.63 tff(34,plain,
% 0.49/0.63 ((~![A__questionmark_v_0_288: c_sorted] : ((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return!305))) | (~((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(A__questionmark_v_0_288) = 1))))) | ((~(c_sort(int32, A__questionmark_return!305) = c_sort(int32, A__questionmark_return!305))) | (~((~(c_sort(int32, A__questionmark_return!305) = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(c_sort(int32, A__questionmark_return!305)) = 1))))),
% 0.49/0.63 inference(quant_inst,[status(thm)],[])).
% 0.49/0.63 tff(35,plain,
% 0.49/0.63 ((~![A__questionmark_v_0_288: c_sorted] : ((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return!305))) | (~((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(A__questionmark_v_0_288) = 1))))) | (~((~(c_sort(int32, A__questionmark_return!305) = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(c_sort(int32, A__questionmark_return!305)) = 1)))),
% 0.49/0.63 inference(modus_ponens,[status(thm)],[34, 33])).
% 0.49/0.63 tff(36,plain,
% 0.49/0.63 (~((~(c_sort(int32, A__questionmark_return!305) = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(c_sort(int32, A__questionmark_return!305)) = 1))),
% 0.49/0.63 inference(unit_resolution,[status(thm)],[35, 23])).
% 0.49/0.63 tff(37,plain,
% 0.49/0.63 (((~(c_sort(int32, A__questionmark_return!305) = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(c_sort(int32, A__questionmark_return!305)) = 1)) | (c_sort(int32, A__questionmark_return!305) = c_sort(int32, A__questionmark_smtlib____retres!304))),
% 0.49/0.63 inference(tautology,[status(thm)],[])).
% 0.49/0.63 tff(38,plain,
% 0.49/0.63 (c_sort(int32, A__questionmark_return!305) = c_sort(int32, A__questionmark_smtlib____retres!304)),
% 0.49/0.63 inference(unit_resolution,[status(thm)],[37, 36])).
% 0.49/0.63 tff(39,plain,
% 0.49/0.63 (c_sort(int32, A__questionmark_smtlib____retres!304) = c_sort(int32, A__questionmark_return!305)),
% 0.49/0.63 inference(symmetry,[status(thm)],[38])).
% 0.49/0.63 tff(40,plain,
% 0.49/0.63 (c_sort(int32, A__questionmark_smtlib____retres!304) = c_sort(int32, A__questionmark_result!303)),
% 0.49/0.63 inference(and_elim,[status(thm)],[20])).
% 0.49/0.63 tff(41,plain,
% 0.49/0.63 (c_sort(int32, A__questionmark_result!303) = c_sort(int32, A__questionmark_smtlib____retres!304)),
% 0.49/0.63 inference(symmetry,[status(thm)],[40])).
% 0.49/0.63 tff(42,plain,
% 0.49/0.63 (c_sort(int32, A__questionmark_result!303) = c_sort(int32, A__questionmark_return!305)),
% 0.49/0.63 inference(transitivity,[status(thm)],[41, 39])).
% 0.49/0.63 tff(43,plain,
% 0.49/0.63 (integer_of_int32(c_sort(int32, A__questionmark_result!303)) = 1),
% 0.49/0.63 inference(and_elim,[status(thm)],[20])).
% 0.49/0.63 tff(44,plain,
% 0.49/0.63 (((~(c_sort(int32, A__questionmark_result!303) = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(c_sort(int32, A__questionmark_result!303)) = 1)) | (~(integer_of_int32(c_sort(int32, A__questionmark_result!303)) = 1))),
% 0.59/0.64 inference(tautology,[status(thm)],[])).
% 0.59/0.64 tff(45,plain,
% 0.59/0.64 ((~(c_sort(int32, A__questionmark_result!303) = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(c_sort(int32, A__questionmark_result!303)) = 1)),
% 0.59/0.64 inference(unit_resolution,[status(thm)],[44, 43])).
% 0.59/0.64 tff(46,plain,
% 0.59/0.64 (((~![A__questionmark_v_0_288: c_sorted] : ((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return!305))) | (~((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(A__questionmark_v_0_288) = 1))))) | ((~(c_sort(int32, A__questionmark_result!303) = c_sort(int32, A__questionmark_return!305))) | (~((~(c_sort(int32, A__questionmark_result!303) = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(c_sort(int32, A__questionmark_result!303)) = 1))))) <=> ((~![A__questionmark_v_0_288: c_sorted] : ((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return!305))) | (~((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(A__questionmark_v_0_288) = 1))))) | (~(c_sort(int32, A__questionmark_result!303) = c_sort(int32, A__questionmark_return!305))) | (~((~(c_sort(int32, A__questionmark_result!303) = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(c_sort(int32, A__questionmark_result!303)) = 1))))),
% 0.59/0.64 inference(rewrite,[status(thm)],[])).
% 0.59/0.64 tff(47,plain,
% 0.59/0.64 ((~![A__questionmark_v_0_288: c_sorted] : ((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return!305))) | (~((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(A__questionmark_v_0_288) = 1))))) | ((~(c_sort(int32, A__questionmark_result!303) = c_sort(int32, A__questionmark_return!305))) | (~((~(c_sort(int32, A__questionmark_result!303) = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(c_sort(int32, A__questionmark_result!303)) = 1))))),
% 0.59/0.64 inference(quant_inst,[status(thm)],[])).
% 0.59/0.64 tff(48,plain,
% 0.59/0.64 ((~![A__questionmark_v_0_288: c_sorted] : ((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_return!305))) | (~((~(A__questionmark_v_0_288 = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(A__questionmark_v_0_288) = 1))))) | (~(c_sort(int32, A__questionmark_result!303) = c_sort(int32, A__questionmark_return!305))) | (~((~(c_sort(int32, A__questionmark_result!303) = c_sort(int32, A__questionmark_smtlib____retres!304))) | (integer_of_int32(c_sort(int32, A__questionmark_result!303)) = 1)))),
% 0.59/0.64 inference(modus_ponens,[status(thm)],[47, 46])).
% 0.59/0.64 tff(49,plain,
% 0.59/0.64 (~(c_sort(int32, A__questionmark_result!303) = c_sort(int32, A__questionmark_return!305))),
% 0.59/0.64 inference(unit_resolution,[status(thm)],[48, 23, 45])).
% 0.59/0.64 tff(50,plain,
% 0.59/0.64 ($false),
% 0.59/0.64 inference(unit_resolution,[status(thm)],[49, 42])).
% 0.59/0.64 % SZS output end Proof
%------------------------------------------------------------------------------