%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : HWV021-1 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n008.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 : Sat Jun 21 05:08:58 AM UTC 2025
% Result : Unsatisfiable 0.19s 0.40s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HWV021-1 : TPTP v9.0.0. Released v2.5.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.13/0.32 % Computer : n008.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Thu Jun 19 17:19:48 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.19/0.40 % SZS status Unsatisfiable
% 0.19/0.40 % SZS output start Proof
% 0.19/0.40 tff(gt_type, type, (
% 0.19/0.40 gt: ( $i * $i ) > $o)).
% 0.19/0.40 tff(n0_type, type, (
% 0.19/0.40 n0: $i)).
% 0.19/0.40 tff(int_level_type, type, (
% 0.19/0.40 int_level: $i > $i)).
% 0.19/0.40 tff(t_139_type, type, (
% 0.19/0.40 t_139: $i)).
% 0.19/0.40 tff(p_Empty_type, type, (
% 0.19/0.40 p_Empty: $i > $o)).
% 0.19/0.40 tff(p_Wr_type, type, (
% 0.19/0.40 p_Wr: $i > $o)).
% 0.19/0.40 tff(p_Reset_type, type, (
% 0.19/0.40 p_Reset: $i > $o)).
% 0.19/0.40 tff(p_Rd_type, type, (
% 0.19/0.40 p_Rd: $i > $o)).
% 0.19/0.40 tff(p_Rd_error_type, type, (
% 0.19/0.40 p_Rd_error: $i > $o)).
% 0.19/0.40 tff(plus_type, type, (
% 0.19/0.40 plus: ( $i * $i ) > $i)).
% 0.19/0.40 tff(n1_type, type, (
% 0.19/0.40 n1: $i)).
% 0.19/0.40 tff(1,plain,
% 0.19/0.40 ((~p_Empty(t_139)) <=> (~p_Empty(t_139))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(2,axiom,(~p_Empty(t_139)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','quest_4')).
% 0.19/0.40 tff(3,plain,
% 0.19/0.40 (~p_Empty(t_139)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.19/0.40 tff(4,plain,
% 0.19/0.40 (^[X_t_35: $i] : refl((p_Empty(X_t_35) | (~(int_level(X_t_35) = n0))) <=> (p_Empty(X_t_35) | (~(int_level(X_t_35) = n0))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(5,plain,
% 0.19/0.40 (![X_t_35: $i] : (p_Empty(X_t_35) | (~(int_level(X_t_35) = n0))) <=> ![X_t_35: $i] : (p_Empty(X_t_35) | (~(int_level(X_t_35) = n0)))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[4])).
% 0.19/0.40 tff(6,plain,
% 0.19/0.40 (![X_t_35: $i] : (p_Empty(X_t_35) | (~(int_level(X_t_35) = n0))) <=> ![X_t_35: $i] : (p_Empty(X_t_35) | (~(int_level(X_t_35) = n0)))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(7,plain,
% 0.19/0.40 (^[X_t_35: $i] : rewrite(((~(int_level(X_t_35) = n0)) | p_Empty(X_t_35)) <=> (p_Empty(X_t_35) | (~(int_level(X_t_35) = n0))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(8,plain,
% 0.19/0.40 (![X_t_35: $i] : ((~(int_level(X_t_35) = n0)) | p_Empty(X_t_35)) <=> ![X_t_35: $i] : (p_Empty(X_t_35) | (~(int_level(X_t_35) = n0)))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[7])).
% 0.19/0.40 tff(9,axiom,(![X_t_35: $i] : ((~(int_level(X_t_35) = n0)) | p_Empty(X_t_35))), file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax','axiom_24')).
% 0.19/0.40 tff(10,plain,
% 0.19/0.40 (![X_t_35: $i] : (p_Empty(X_t_35) | (~(int_level(X_t_35) = n0)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[9, 8])).
% 0.19/0.40 tff(11,plain,
% 0.19/0.40 (![X_t_35: $i] : (p_Empty(X_t_35) | (~(int_level(X_t_35) = n0)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[10, 6])).
% 0.19/0.40 tff(12,plain,(
% 0.19/0.40 ![X_t_35: $i] : (p_Empty(X_t_35) | (~(int_level(X_t_35) = n0)))),
% 0.19/0.40 inference(skolemize,[status(sab)],[11])).
% 0.19/0.40 tff(13,plain,
% 0.19/0.40 (![X_t_35: $i] : (p_Empty(X_t_35) | (~(int_level(X_t_35) = n0)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[12, 5])).
% 0.19/0.40 tff(14,plain,
% 0.19/0.40 (((~![X_t_35: $i] : (p_Empty(X_t_35) | (~(int_level(X_t_35) = n0)))) | (p_Empty(t_139) | (~(int_level(t_139) = n0)))) <=> ((~![X_t_35: $i] : (p_Empty(X_t_35) | (~(int_level(X_t_35) = n0)))) | p_Empty(t_139) | (~(int_level(t_139) = n0)))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(15,plain,
% 0.19/0.40 ((~![X_t_35: $i] : (p_Empty(X_t_35) | (~(int_level(X_t_35) = n0)))) | (p_Empty(t_139) | (~(int_level(t_139) = n0)))),
% 0.19/0.40 inference(quant_inst,[status(thm)],[])).
% 0.19/0.40 tff(16,plain,
% 0.19/0.40 ((~![X_t_35: $i] : (p_Empty(X_t_35) | (~(int_level(X_t_35) = n0)))) | p_Empty(t_139) | (~(int_level(t_139) = n0))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[15, 14])).
% 0.19/0.40 tff(17,plain,
% 0.19/0.40 (~(int_level(t_139) = n0)),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[16, 13, 3])).
% 0.19/0.40 tff(18,assumption,(~gt(int_level(t_139), n0)), introduced(assumption)).
% 0.19/0.40 tff(19,plain,
% 0.19/0.40 (^[X_25: $i] : refl(((X_25 = n0) | gt(X_25, n0)) <=> ((X_25 = n0) | gt(X_25, n0)))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(20,plain,
% 0.19/0.40 (![X_25: $i] : ((X_25 = n0) | gt(X_25, n0)) <=> ![X_25: $i] : ((X_25 = n0) | gt(X_25, n0))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[19])).
% 0.19/0.40 tff(21,plain,
% 0.19/0.40 (![X_25: $i] : ((X_25 = n0) | gt(X_25, n0)) <=> ![X_25: $i] : ((X_25 = n0) | gt(X_25, n0))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(22,axiom,(![X_25: $i] : ((X_25 = n0) | gt(X_25, n0))), file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax','axiom_15')).
% 0.19/0.40 tff(23,plain,
% 0.19/0.40 (![X_25: $i] : ((X_25 = n0) | gt(X_25, n0))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.19/0.40 tff(24,plain,(
% 0.19/0.40 ![X_25: $i] : ((X_25 = n0) | gt(X_25, n0))),
% 0.19/0.40 inference(skolemize,[status(sab)],[23])).
% 0.19/0.40 tff(25,plain,
% 0.19/0.40 (![X_25: $i] : ((X_25 = n0) | gt(X_25, n0))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[24, 20])).
% 0.19/0.40 tff(26,plain,
% 0.19/0.40 (((~![X_25: $i] : ((X_25 = n0) | gt(X_25, n0))) | ((int_level(t_139) = n0) | gt(int_level(t_139), n0))) <=> ((~![X_25: $i] : ((X_25 = n0) | gt(X_25, n0))) | (int_level(t_139) = n0) | gt(int_level(t_139), n0))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(27,plain,
% 0.19/0.40 ((~![X_25: $i] : ((X_25 = n0) | gt(X_25, n0))) | ((int_level(t_139) = n0) | gt(int_level(t_139), n0))),
% 0.19/0.40 inference(quant_inst,[status(thm)],[])).
% 0.19/0.40 tff(28,plain,
% 0.19/0.40 ((~![X_25: $i] : ((X_25 = n0) | gt(X_25, n0))) | (int_level(t_139) = n0) | gt(int_level(t_139), n0)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[27, 26])).
% 0.19/0.40 tff(29,plain,
% 0.19/0.40 ($false),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[28, 25, 18, 17])).
% 0.19/0.40 tff(30,plain,(gt(int_level(t_139), n0)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.40 tff(31,plain,
% 0.19/0.40 ((~p_Reset(t_139)) <=> (~p_Reset(t_139))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(32,axiom,(~p_Reset(t_139)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','quest_3')).
% 0.19/0.40 tff(33,plain,
% 0.19/0.40 (~p_Reset(t_139)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[32, 31])).
% 0.19/0.40 tff(34,plain,
% 0.19/0.40 (p_Rd(t_139) <=> p_Rd(t_139)),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(35,axiom,(p_Rd(t_139)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','quest_2')).
% 0.19/0.40 tff(36,plain,
% 0.19/0.40 (p_Rd(t_139)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[35, 34])).
% 0.19/0.40 tff(37,plain,
% 0.19/0.40 (p_Rd_error(plus(t_139, n1)) <=> p_Rd_error(plus(t_139, n1))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(38,axiom,(p_Rd_error(plus(t_139, n1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','quest_1')).
% 0.19/0.40 tff(39,plain,
% 0.19/0.40 (p_Rd_error(plus(t_139, n1))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[38, 37])).
% 0.19/0.40 tff(40,plain,
% 0.19/0.40 (^[X_t_42: $i] : refl((p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0))) <=> (p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(41,plain,
% 0.19/0.40 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[40])).
% 0.19/0.40 tff(42,plain,
% 0.19/0.40 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(43,plain,
% 0.19/0.40 (^[X_t_42: $i] : trans(monotonicity(trans(monotonicity(rewrite(((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42))), ((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0))))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)))), ((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0))))), (((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | (~p_Rd_error(plus(X_t_42, n1)))) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0))) | (~p_Rd_error(plus(X_t_42, n1)))))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0))) | (~p_Rd_error(plus(X_t_42, n1)))) <=> (p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)))), (((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | (~p_Rd_error(plus(X_t_42, n1)))) <=> (p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(44,plain,
% 0.19/0.40 (![X_t_42: $i] : ((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | (~p_Rd_error(plus(X_t_42, n1)))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[43])).
% 0.19/0.40 tff(45,axiom,(![X_t_42: $i] : ((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | (~p_Rd_error(plus(X_t_42, n1))))), file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax','axiom_70')).
% 0.19/0.40 tff(46,plain,
% 0.19/0.40 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[45, 44])).
% 0.19/0.40 tff(47,plain,
% 0.19/0.40 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[46, 42])).
% 0.19/0.40 tff(48,plain,(
% 0.19/0.40 ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)))),
% 0.19/0.40 inference(skolemize,[status(sab)],[47])).
% 0.19/0.40 tff(49,plain,
% 0.19/0.40 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[48, 41])).
% 0.19/0.40 tff(50,plain,
% 0.19/0.40 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)))) | (p_Reset(t_139) | p_Wr(t_139) | (~p_Rd(t_139)) | (~gt(int_level(t_139), n0)) | (~p_Rd_error(plus(t_139, n1))))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)))) | p_Reset(t_139) | p_Wr(t_139) | (~p_Rd(t_139)) | (~gt(int_level(t_139), n0)) | (~p_Rd_error(plus(t_139, n1))))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(51,plain,
% 0.19/0.40 ((p_Reset(t_139) | (~p_Rd_error(plus(t_139, n1))) | (~p_Rd(t_139)) | p_Wr(t_139) | (~gt(int_level(t_139), n0))) <=> (p_Reset(t_139) | p_Wr(t_139) | (~p_Rd(t_139)) | (~gt(int_level(t_139), n0)) | (~p_Rd_error(plus(t_139, n1))))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(52,plain,
% 0.19/0.40 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)))) | (p_Reset(t_139) | (~p_Rd_error(plus(t_139, n1))) | (~p_Rd(t_139)) | p_Wr(t_139) | (~gt(int_level(t_139), n0)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)))) | (p_Reset(t_139) | p_Wr(t_139) | (~p_Rd(t_139)) | (~gt(int_level(t_139), n0)) | (~p_Rd_error(plus(t_139, n1)))))),
% 0.19/0.40 inference(monotonicity,[status(thm)],[51])).
% 0.19/0.40 tff(53,plain,
% 0.19/0.40 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)))) | (p_Reset(t_139) | (~p_Rd_error(plus(t_139, n1))) | (~p_Rd(t_139)) | p_Wr(t_139) | (~gt(int_level(t_139), n0)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)))) | p_Reset(t_139) | p_Wr(t_139) | (~p_Rd(t_139)) | (~gt(int_level(t_139), n0)) | (~p_Rd_error(plus(t_139, n1))))),
% 0.19/0.40 inference(transitivity,[status(thm)],[52, 50])).
% 0.19/0.40 tff(54,plain,
% 0.19/0.40 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)))) | (p_Reset(t_139) | (~p_Rd_error(plus(t_139, n1))) | (~p_Rd(t_139)) | p_Wr(t_139) | (~gt(int_level(t_139), n0)))),
% 0.19/0.40 inference(quant_inst,[status(thm)],[])).
% 0.19/0.40 tff(55,plain,
% 0.19/0.40 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)))) | p_Reset(t_139) | p_Wr(t_139) | (~p_Rd(t_139)) | (~gt(int_level(t_139), n0)) | (~p_Rd_error(plus(t_139, n1)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[54, 53])).
% 0.19/0.40 tff(56,plain,
% 0.19/0.40 (p_Wr(t_139) | (~gt(int_level(t_139), n0))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[55, 49, 39, 36, 33])).
% 0.19/0.40 tff(57,plain,
% 0.19/0.40 (p_Wr(t_139)),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[56, 30])).
% 0.19/0.40 tff(58,plain,
% 0.19/0.40 (^[X_t_42: $i] : refl((p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0))) <=> (p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(59,plain,
% 0.19/0.40 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[58])).
% 0.19/0.40 tff(60,plain,
% 0.19/0.40 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(61,plain,
% 0.19/0.40 (^[X_t_42: $i] : trans(monotonicity(trans(monotonicity(rewrite(((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)))), ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42))) | (~gt(int_level(X_t_42), n0))))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42))) | (~gt(int_level(X_t_42), n0))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)))), ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0))))), (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | (~p_Rd_error(plus(X_t_42, n1)))) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0))) | (~p_Rd_error(plus(X_t_42, n1)))))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0))) | (~p_Rd_error(plus(X_t_42, n1)))) <=> (p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)))), (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | (~p_Rd_error(plus(X_t_42, n1)))) <=> (p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(62,plain,
% 0.19/0.40 (![X_t_42: $i] : ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | (~p_Rd_error(plus(X_t_42, n1)))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[61])).
% 0.19/0.40 tff(63,axiom,(![X_t_42: $i] : ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | (~p_Rd_error(plus(X_t_42, n1))))), file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax','axiom_52')).
% 0.19/0.40 tff(64,plain,
% 0.19/0.40 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[63, 62])).
% 0.19/0.40 tff(65,plain,
% 0.19/0.40 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[64, 60])).
% 0.19/0.40 tff(66,plain,(
% 0.19/0.40 ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)))),
% 0.19/0.41 inference(skolemize,[status(sab)],[65])).
% 0.19/0.41 tff(67,plain,
% 0.19/0.41 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[66, 59])).
% 0.19/0.41 tff(68,plain,
% 0.19/0.41 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)))) | (p_Reset(t_139) | (~p_Rd(t_139)) | (~gt(int_level(t_139), n0)) | (~p_Rd_error(plus(t_139, n1))) | (~p_Wr(t_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)))) | p_Reset(t_139) | (~p_Rd(t_139)) | (~gt(int_level(t_139), n0)) | (~p_Rd_error(plus(t_139, n1))) | (~p_Wr(t_139)))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(69,plain,
% 0.19/0.41 ((p_Reset(t_139) | (~p_Rd_error(plus(t_139, n1))) | (~p_Rd(t_139)) | (~p_Wr(t_139)) | (~gt(int_level(t_139), n0))) <=> (p_Reset(t_139) | (~p_Rd(t_139)) | (~gt(int_level(t_139), n0)) | (~p_Rd_error(plus(t_139, n1))) | (~p_Wr(t_139)))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(70,plain,
% 0.19/0.41 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)))) | (p_Reset(t_139) | (~p_Rd_error(plus(t_139, n1))) | (~p_Rd(t_139)) | (~p_Wr(t_139)) | (~gt(int_level(t_139), n0)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)))) | (p_Reset(t_139) | (~p_Rd(t_139)) | (~gt(int_level(t_139), n0)) | (~p_Rd_error(plus(t_139, n1))) | (~p_Wr(t_139))))),
% 0.19/0.41 inference(monotonicity,[status(thm)],[69])).
% 0.19/0.41 tff(71,plain,
% 0.19/0.41 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)))) | (p_Reset(t_139) | (~p_Rd_error(plus(t_139, n1))) | (~p_Rd(t_139)) | (~p_Wr(t_139)) | (~gt(int_level(t_139), n0)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)))) | p_Reset(t_139) | (~p_Rd(t_139)) | (~gt(int_level(t_139), n0)) | (~p_Rd_error(plus(t_139, n1))) | (~p_Wr(t_139)))),
% 0.19/0.41 inference(transitivity,[status(thm)],[70, 68])).
% 0.19/0.41 tff(72,plain,
% 0.19/0.41 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)))) | (p_Reset(t_139) | (~p_Rd_error(plus(t_139, n1))) | (~p_Rd(t_139)) | (~p_Wr(t_139)) | (~gt(int_level(t_139), n0)))),
% 0.19/0.41 inference(quant_inst,[status(thm)],[])).
% 0.19/0.41 tff(73,plain,
% 0.19/0.41 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd_error(plus(X_t_42, n1))) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)))) | p_Reset(t_139) | (~p_Rd(t_139)) | (~gt(int_level(t_139), n0)) | (~p_Rd_error(plus(t_139, n1))) | (~p_Wr(t_139))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[72, 71])).
% 0.19/0.41 tff(74,plain,
% 0.19/0.41 ((~gt(int_level(t_139), n0)) | (~p_Wr(t_139))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[73, 67, 39, 36, 33])).
% 0.19/0.41 tff(75,plain,
% 0.19/0.41 ($false),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[74, 57, 30])).
% 0.19/0.41 % SZS output end Proof
% 0.19/0.41 % E exiting
%------------------------------------------------------------------------------