TSTP Solution File: COM009-2 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : COM009-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n020.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 18:05:45 EDT 2022
% Result : Unsatisfiable 0.20s 0.40s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : COM009-2 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.14 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.35 % Computer : n020.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 13:29:15 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.
% 0.20/0.40 % SZS status Unsatisfiable
% 0.20/0.40 % SZS output start Proof
% 0.20/0.40 tff(c_UNITY_Ototalize_type, type, (
% 0.20/0.40 c_UNITY_Ototalize: ( $i * $i ) > $i)).
% 0.20/0.40 tff(c_UNITY_Oall__total_type, type, (
% 0.20/0.40 c_UNITY_Oall__total: ( $i * $i ) > $o)).
% 0.20/0.40 tff(t_a_type, type, (
% 0.20/0.40 t_a: $i)).
% 0.20/0.40 tff(v_F_type, type, (
% 0.20/0.40 v_F: $i)).
% 0.20/0.40 tff(1,plain,
% 0.20/0.40 (^[V_F: $i, T_a: $i] : refl(((~c_UNITY_Oall__total(V_F, T_a)) | (c_UNITY_Ototalize(V_F, T_a) = V_F)) <=> ((~c_UNITY_Oall__total(V_F, T_a)) | (c_UNITY_Ototalize(V_F, T_a) = V_F)))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(2,plain,
% 0.20/0.40 (![V_F: $i, T_a: $i] : ((~c_UNITY_Oall__total(V_F, T_a)) | (c_UNITY_Ototalize(V_F, T_a) = V_F)) <=> ![V_F: $i, T_a: $i] : ((~c_UNITY_Oall__total(V_F, T_a)) | (c_UNITY_Ototalize(V_F, T_a) = V_F))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[1])).
% 0.20/0.40 tff(3,plain,
% 0.20/0.40 (![V_F: $i, T_a: $i] : ((~c_UNITY_Oall__total(V_F, T_a)) | (c_UNITY_Ototalize(V_F, T_a) = V_F)) <=> ![V_F: $i, T_a: $i] : ((~c_UNITY_Oall__total(V_F, T_a)) | (c_UNITY_Ototalize(V_F, T_a) = V_F))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(4,axiom,(![V_F: $i, T_a: $i] : ((~c_UNITY_Oall__total(V_F, T_a)) | (c_UNITY_Ototalize(V_F, T_a) = V_F))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cls_UNITY_Oall__total__imp__totalize_0')).
% 0.20/0.40 tff(5,plain,
% 0.20/0.40 (![V_F: $i, T_a: $i] : ((~c_UNITY_Oall__total(V_F, T_a)) | (c_UNITY_Ototalize(V_F, T_a) = V_F))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.20/0.40 tff(6,plain,(
% 0.20/0.40 ![V_F: $i, T_a: $i] : ((~c_UNITY_Oall__total(V_F, T_a)) | (c_UNITY_Ototalize(V_F, T_a) = V_F))),
% 0.20/0.40 inference(skolemize,[status(sab)],[5])).
% 0.20/0.40 tff(7,plain,
% 0.20/0.40 (![V_F: $i, T_a: $i] : ((~c_UNITY_Oall__total(V_F, T_a)) | (c_UNITY_Ototalize(V_F, T_a) = V_F))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.20/0.40 tff(8,assumption,(~c_UNITY_Oall__total(v_F, t_a)), introduced(assumption)).
% 0.20/0.40 tff(9,plain,
% 0.20/0.40 ((c_UNITY_Oall__total(v_F, t_a) | (c_UNITY_Ototalize(v_F, t_a) = v_F)) <=> (c_UNITY_Oall__total(v_F, t_a) | (c_UNITY_Ototalize(v_F, t_a) = v_F))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(10,axiom,(c_UNITY_Oall__total(v_F, t_a) | (c_UNITY_Ototalize(v_F, t_a) = v_F)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cls_conjecture_1')).
% 0.20/0.40 tff(11,plain,
% 0.20/0.40 (c_UNITY_Oall__total(v_F, t_a) | (c_UNITY_Ototalize(v_F, t_a) = v_F)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[10, 9])).
% 0.20/0.40 tff(12,plain,
% 0.20/0.40 (c_UNITY_Ototalize(v_F, t_a) = v_F),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[11, 8])).
% 0.20/0.40 tff(13,plain,
% 0.20/0.40 (c_UNITY_Oall__total(c_UNITY_Ototalize(v_F, t_a), t_a) <=> c_UNITY_Oall__total(v_F, t_a)),
% 0.20/0.40 inference(monotonicity,[status(thm)],[12])).
% 0.20/0.40 tff(14,plain,
% 0.20/0.40 (c_UNITY_Oall__total(v_F, t_a) <=> c_UNITY_Oall__total(c_UNITY_Ototalize(v_F, t_a), t_a)),
% 0.20/0.40 inference(symmetry,[status(thm)],[13])).
% 0.20/0.40 tff(15,plain,
% 0.20/0.40 ((~c_UNITY_Oall__total(v_F, t_a)) <=> (~c_UNITY_Oall__total(c_UNITY_Ototalize(v_F, t_a), t_a))),
% 0.20/0.40 inference(monotonicity,[status(thm)],[14])).
% 0.20/0.40 tff(16,plain,
% 0.20/0.40 (~c_UNITY_Oall__total(c_UNITY_Ototalize(v_F, t_a), t_a)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[8, 15])).
% 0.20/0.40 tff(17,plain,
% 0.20/0.40 (^[V_F: $i, T_a: $i] : refl(c_UNITY_Oall__total(c_UNITY_Ototalize(V_F, T_a), T_a) <=> c_UNITY_Oall__total(c_UNITY_Ototalize(V_F, T_a), T_a))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(18,plain,
% 0.20/0.40 (![V_F: $i, T_a: $i] : c_UNITY_Oall__total(c_UNITY_Ototalize(V_F, T_a), T_a) <=> ![V_F: $i, T_a: $i] : c_UNITY_Oall__total(c_UNITY_Ototalize(V_F, T_a), T_a)),
% 0.20/0.40 inference(quant_intro,[status(thm)],[17])).
% 0.20/0.40 tff(19,plain,
% 0.20/0.40 (![V_F: $i, T_a: $i] : c_UNITY_Oall__total(c_UNITY_Ototalize(V_F, T_a), T_a) <=> ![V_F: $i, T_a: $i] : c_UNITY_Oall__total(c_UNITY_Ototalize(V_F, T_a), T_a)),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(20,axiom,(![V_F: $i, T_a: $i] : c_UNITY_Oall__total(c_UNITY_Ototalize(V_F, T_a), T_a)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cls_UNITY_Oall__total__totalize_0')).
% 0.20/0.40 tff(21,plain,
% 0.20/0.40 (![V_F: $i, T_a: $i] : c_UNITY_Oall__total(c_UNITY_Ototalize(V_F, T_a), T_a)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[20, 19])).
% 0.20/0.40 tff(22,plain,(
% 0.20/0.40 ![V_F: $i, T_a: $i] : c_UNITY_Oall__total(c_UNITY_Ototalize(V_F, T_a), T_a)),
% 0.20/0.40 inference(skolemize,[status(sab)],[21])).
% 0.20/0.40 tff(23,plain,
% 0.20/0.40 (![V_F: $i, T_a: $i] : c_UNITY_Oall__total(c_UNITY_Ototalize(V_F, T_a), T_a)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[22, 18])).
% 0.20/0.40 tff(24,plain,
% 0.20/0.40 ((~![V_F: $i, T_a: $i] : c_UNITY_Oall__total(c_UNITY_Ototalize(V_F, T_a), T_a)) | c_UNITY_Oall__total(c_UNITY_Ototalize(v_F, t_a), t_a)),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(25,plain,
% 0.20/0.40 (c_UNITY_Oall__total(c_UNITY_Ototalize(v_F, t_a), t_a)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[24, 23])).
% 0.20/0.40 tff(26,plain,
% 0.20/0.40 ($false),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[25, 16])).
% 0.20/0.40 tff(27,plain,(c_UNITY_Oall__total(v_F, t_a)), inference(lemma,lemma(discharge,[]))).
% 0.20/0.40 tff(28,plain,
% 0.20/0.40 (((~(c_UNITY_Ototalize(v_F, t_a) = v_F)) | (~c_UNITY_Oall__total(v_F, t_a))) <=> ((~(c_UNITY_Ototalize(v_F, t_a) = v_F)) | (~c_UNITY_Oall__total(v_F, t_a)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(29,axiom,((~(c_UNITY_Ototalize(v_F, t_a) = v_F)) | (~c_UNITY_Oall__total(v_F, t_a))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cls_conjecture_0')).
% 0.20/0.40 tff(30,plain,
% 0.20/0.40 ((~(c_UNITY_Ototalize(v_F, t_a) = v_F)) | (~c_UNITY_Oall__total(v_F, t_a))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[29, 28])).
% 0.20/0.40 tff(31,plain,
% 0.20/0.40 ((~(c_UNITY_Ototalize(v_F, t_a) = v_F)) | (~c_UNITY_Oall__total(v_F, t_a))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[30, 28])).
% 0.20/0.40 tff(32,plain,
% 0.20/0.40 ((~(c_UNITY_Ototalize(v_F, t_a) = v_F)) | (~c_UNITY_Oall__total(v_F, t_a))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[31, 28])).
% 0.20/0.40 tff(33,plain,
% 0.20/0.40 ((~(c_UNITY_Ototalize(v_F, t_a) = v_F)) | (~c_UNITY_Oall__total(v_F, t_a))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[32, 28])).
% 0.20/0.40 tff(34,plain,
% 0.20/0.40 ((~(c_UNITY_Ototalize(v_F, t_a) = v_F)) | (~c_UNITY_Oall__total(v_F, t_a))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[33, 28])).
% 0.20/0.40 tff(35,plain,
% 0.20/0.40 ((~(c_UNITY_Ototalize(v_F, t_a) = v_F)) | (~c_UNITY_Oall__total(v_F, t_a))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[34, 28])).
% 0.20/0.40 tff(36,plain,
% 0.20/0.40 ((~(c_UNITY_Ototalize(v_F, t_a) = v_F)) | (~c_UNITY_Oall__total(v_F, t_a))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[35, 28])).
% 0.20/0.40 tff(37,plain,
% 0.20/0.40 ((~(c_UNITY_Ototalize(v_F, t_a) = v_F)) | (~c_UNITY_Oall__total(v_F, t_a))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[36, 28])).
% 0.20/0.40 tff(38,plain,
% 0.20/0.40 (~(c_UNITY_Ototalize(v_F, t_a) = v_F)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[37, 27])).
% 0.20/0.40 tff(39,plain,
% 0.20/0.40 (((~![V_F: $i, T_a: $i] : ((~c_UNITY_Oall__total(V_F, T_a)) | (c_UNITY_Ototalize(V_F, T_a) = V_F))) | ((~c_UNITY_Oall__total(v_F, t_a)) | (c_UNITY_Ototalize(v_F, t_a) = v_F))) <=> ((~![V_F: $i, T_a: $i] : ((~c_UNITY_Oall__total(V_F, T_a)) | (c_UNITY_Ototalize(V_F, T_a) = V_F))) | (~c_UNITY_Oall__total(v_F, t_a)) | (c_UNITY_Ototalize(v_F, t_a) = v_F))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(40,plain,
% 0.20/0.40 ((~![V_F: $i, T_a: $i] : ((~c_UNITY_Oall__total(V_F, T_a)) | (c_UNITY_Ototalize(V_F, T_a) = V_F))) | ((~c_UNITY_Oall__total(v_F, t_a)) | (c_UNITY_Ototalize(v_F, t_a) = v_F))),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(41,plain,
% 0.20/0.40 ((~![V_F: $i, T_a: $i] : ((~c_UNITY_Oall__total(V_F, T_a)) | (c_UNITY_Ototalize(V_F, T_a) = V_F))) | (~c_UNITY_Oall__total(v_F, t_a)) | (c_UNITY_Ototalize(v_F, t_a) = v_F)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[40, 39])).
% 0.20/0.40 tff(42,plain,
% 0.20/0.40 ($false),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[41, 38, 27, 7])).
% 0.20/0.40 % SZS output end Proof
%------------------------------------------------------------------------------