%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : HWV018-1 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n011.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 05:08:56 AM UTC 2025
% Result : Unsatisfiable 0.10s 0.40s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : HWV018-1 : TPTP v9.0.0. Released v2.5.0.
% 0.10/0.11 % Command : run_E %s %d THM
% 0.10/0.32 % Computer : n011.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Thu Jun 19 17:19:57 EDT 2025
% 0.10/0.33 % CPUTime :
% 0.10/0.40 % SZS status Unsatisfiable
% 0.10/0.40 % SZS output start Proof
% 0.10/0.40 tff(fifo_length_type, type, (
% 0.10/0.40 fifo_length: $i)).
% 0.10/0.40 tff(int_level_type, type, (
% 0.10/0.40 int_level: $i > $i)).
% 0.10/0.40 tff(plus_type, type, (
% 0.10/0.40 plus: ( $i * $i ) > $i)).
% 0.10/0.40 tff(n1_type, type, (
% 0.10/0.40 n1: $i)).
% 0.10/0.40 tff(t_139_type, type, (
% 0.10/0.40 t_139: $i)).
% 0.10/0.40 tff(p_Full_type, type, (
% 0.10/0.40 p_Full: $i > $o)).
% 0.10/0.40 tff(gt_type, type, (
% 0.10/0.40 gt: ( $i * $i ) > $o)).
% 0.10/0.40 tff(p_Reset_type, type, (
% 0.10/0.40 p_Reset: $i > $o)).
% 0.10/0.40 tff(p_Wr_type, type, (
% 0.10/0.40 p_Wr: $i > $o)).
% 0.10/0.40 tff(p_Rd_type, type, (
% 0.10/0.40 p_Rd: $i > $o)).
% 0.10/0.40 tff(p_Wr_error_type, type, (
% 0.10/0.40 p_Wr_error: $i > $o)).
% 0.10/0.40 tff(1,plain,
% 0.10/0.40 (p_Full(t_139) <=> p_Full(t_139)),
% 0.10/0.40 inference(rewrite,[status(thm)],[])).
% 0.10/0.40 tff(2,axiom,(p_Full(t_139)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','quest_3')).
% 0.10/0.40 tff(3,plain,
% 0.10/0.40 (p_Full(t_139)),
% 0.10/0.40 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.10/0.40 tff(4,plain,
% 0.10/0.40 (^[X_t_34: $i] : refl(((int_level(X_t_34) = fifo_length) | (~p_Full(X_t_34))) <=> ((int_level(X_t_34) = fifo_length) | (~p_Full(X_t_34))))),
% 0.10/0.40 inference(bind,[status(th)],[])).
% 0.10/0.40 tff(5,plain,
% 0.10/0.40 (![X_t_34: $i] : ((int_level(X_t_34) = fifo_length) | (~p_Full(X_t_34))) <=> ![X_t_34: $i] : ((int_level(X_t_34) = fifo_length) | (~p_Full(X_t_34)))),
% 0.10/0.40 inference(quant_intro,[status(thm)],[4])).
% 0.10/0.40 tff(6,plain,
% 0.10/0.40 (![X_t_34: $i] : ((int_level(X_t_34) = fifo_length) | (~p_Full(X_t_34))) <=> ![X_t_34: $i] : ((int_level(X_t_34) = fifo_length) | (~p_Full(X_t_34)))),
% 0.10/0.40 inference(rewrite,[status(thm)],[])).
% 0.10/0.40 tff(7,axiom,(![X_t_34: $i] : ((int_level(X_t_34) = fifo_length) | (~p_Full(X_t_34)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_23')).
% 0.10/0.40 tff(8,plain,
% 0.10/0.40 (![X_t_34: $i] : ((int_level(X_t_34) = fifo_length) | (~p_Full(X_t_34)))),
% 0.10/0.40 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.10/0.40 tff(9,plain,(
% 0.10/0.40 ![X_t_34: $i] : ((int_level(X_t_34) = fifo_length) | (~p_Full(X_t_34)))),
% 0.10/0.40 inference(skolemize,[status(sab)],[8])).
% 0.10/0.40 tff(10,plain,
% 0.10/0.40 (![X_t_34: $i] : ((int_level(X_t_34) = fifo_length) | (~p_Full(X_t_34)))),
% 0.10/0.40 inference(modus_ponens,[status(thm)],[9, 5])).
% 0.10/0.40 tff(11,plain,
% 0.10/0.40 (((~![X_t_34: $i] : ((int_level(X_t_34) = fifo_length) | (~p_Full(X_t_34)))) | ((int_level(t_139) = fifo_length) | (~p_Full(t_139)))) <=> ((~![X_t_34: $i] : ((int_level(X_t_34) = fifo_length) | (~p_Full(X_t_34)))) | (int_level(t_139) = fifo_length) | (~p_Full(t_139)))),
% 0.10/0.40 inference(rewrite,[status(thm)],[])).
% 0.10/0.40 tff(12,plain,
% 0.10/0.40 ((~![X_t_34: $i] : ((int_level(X_t_34) = fifo_length) | (~p_Full(X_t_34)))) | ((int_level(t_139) = fifo_length) | (~p_Full(t_139)))),
% 0.10/0.40 inference(quant_inst,[status(thm)],[])).
% 0.10/0.40 tff(13,plain,
% 0.10/0.40 ((~![X_t_34: $i] : ((int_level(X_t_34) = fifo_length) | (~p_Full(X_t_34)))) | (int_level(t_139) = fifo_length) | (~p_Full(t_139))),
% 0.10/0.40 inference(modus_ponens,[status(thm)],[12, 11])).
% 0.10/0.40 tff(14,plain,
% 0.10/0.40 (int_level(t_139) = fifo_length),
% 0.10/0.40 inference(unit_resolution,[status(thm)],[13, 10, 3])).
% 0.10/0.40 tff(15,plain,
% 0.10/0.40 (fifo_length = int_level(t_139)),
% 0.10/0.40 inference(symmetry,[status(thm)],[14])).
% 0.10/0.40 tff(16,plain,
% 0.10/0.40 (gt(fifo_length, fifo_length) <=> gt(fifo_length, int_level(t_139))),
% 0.10/0.40 inference(monotonicity,[status(thm)],[15])).
% 0.10/0.40 tff(17,plain,
% 0.10/0.40 (gt(fifo_length, int_level(t_139)) <=> gt(fifo_length, fifo_length)),
% 0.10/0.40 inference(symmetry,[status(thm)],[16])).
% 0.10/0.40 tff(18,assumption,(gt(fifo_length, int_level(t_139))), introduced(assumption)).
% 0.10/0.40 tff(19,plain,
% 0.10/0.40 (gt(fifo_length, fifo_length)),
% 0.10/0.40 inference(modus_ponens,[status(thm)],[18, 17])).
% 0.10/0.40 tff(20,plain,
% 0.10/0.40 (^[X_28: $i] : refl((~gt(X_28, X_28)) <=> (~gt(X_28, X_28)))),
% 0.10/0.40 inference(bind,[status(th)],[])).
% 0.10/0.40 tff(21,plain,
% 0.10/0.40 (![X_28: $i] : (~gt(X_28, X_28)) <=> ![X_28: $i] : (~gt(X_28, X_28))),
% 0.10/0.40 inference(quant_intro,[status(thm)],[20])).
% 0.10/0.40 tff(22,plain,
% 0.10/0.40 (![X_28: $i] : (~gt(X_28, X_28)) <=> ![X_28: $i] : (~gt(X_28, X_28))),
% 0.10/0.40 inference(rewrite,[status(thm)],[])).
% 0.10/0.40 tff(23,axiom,(![X_28: $i] : (~gt(X_28, X_28))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_17')).
% 0.10/0.40 tff(24,plain,
% 0.10/0.40 (![X_28: $i] : (~gt(X_28, X_28))),
% 0.10/0.40 inference(modus_ponens,[status(thm)],[23, 22])).
% 0.10/0.40 tff(25,plain,(
% 0.10/0.40 ![X_28: $i] : (~gt(X_28, X_28))),
% 0.10/0.40 inference(skolemize,[status(sab)],[24])).
% 0.10/0.40 tff(26,plain,
% 0.10/0.40 (![X_28: $i] : (~gt(X_28, X_28))),
% 0.10/0.40 inference(modus_ponens,[status(thm)],[25, 21])).
% 0.10/0.40 tff(27,plain,
% 0.10/0.40 ((~![X_28: $i] : (~gt(X_28, X_28))) | (~gt(fifo_length, fifo_length))),
% 0.10/0.40 inference(quant_inst,[status(thm)],[])).
% 0.10/0.40 tff(28,plain,
% 0.10/0.40 (~gt(fifo_length, fifo_length)),
% 0.10/0.40 inference(unit_resolution,[status(thm)],[27, 26])).
% 0.10/0.40 tff(29,plain,
% 0.10/0.40 ($false),
% 0.10/0.40 inference(unit_resolution,[status(thm)],[28, 19])).
% 0.10/0.40 tff(30,plain,(~gt(fifo_length, int_level(t_139))), inference(lemma,lemma(discharge,[]))).
% 0.10/0.40 tff(31,plain,
% 0.10/0.40 ((~p_Reset(t_139)) <=> (~p_Reset(t_139))),
% 0.10/0.40 inference(rewrite,[status(thm)],[])).
% 0.10/0.40 tff(32,axiom,(~p_Reset(t_139)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','quest_4')).
% 0.10/0.40 tff(33,plain,
% 0.10/0.40 (~p_Reset(t_139)),
% 0.10/0.40 inference(modus_ponens,[status(thm)],[32, 31])).
% 0.10/0.40 tff(34,plain,
% 0.10/0.40 (p_Wr(t_139) <=> p_Wr(t_139)),
% 0.10/0.40 inference(rewrite,[status(thm)],[])).
% 0.10/0.40 tff(35,axiom,(p_Wr(t_139)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','quest_2')).
% 0.10/0.40 tff(36,plain,
% 0.10/0.40 (p_Wr(t_139)),
% 0.10/0.40 inference(modus_ponens,[status(thm)],[35, 34])).
% 0.10/0.40 tff(37,plain,
% 0.10/0.40 ((~p_Rd(t_139)) <=> (~p_Rd(t_139))),
% 0.10/0.40 inference(rewrite,[status(thm)],[])).
% 0.10/0.40 tff(38,axiom,(~p_Rd(t_139)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','quest_1')).
% 0.10/0.40 tff(39,plain,
% 0.10/0.40 (~p_Rd(t_139)),
% 0.10/0.40 inference(modus_ponens,[status(thm)],[38, 37])).
% 0.10/0.40 tff(40,plain,
% 0.10/0.40 (^[X_t_42: $i] : refl((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))))),
% 0.10/0.40 inference(bind,[status(th)],[])).
% 0.10/0.40 tff(41,plain,
% 0.10/0.40 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))),
% 0.10/0.40 inference(quant_intro,[status(thm)],[40])).
% 0.10/0.40 tff(42,plain,
% 0.10/0.40 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))),
% 0.10/0.40 inference(rewrite,[status(thm)],[])).
% 0.10/0.40 tff(43,plain,
% 0.10/0.40 (^[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(fifo_length, int_level(X_t_42))) <=> ((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42))) | gt(fifo_length, int_level(X_t_42))))), rewrite(((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42))) | gt(fifo_length, int_level(X_t_42))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)))), ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | gt(fifo_length, int_level(X_t_42))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42))))), (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))) <=> ((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))))), rewrite(((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))), (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))))),
% 0.10/0.40 inference(bind,[status(th)],[])).
% 0.10/0.40 tff(44,plain,
% 0.10/0.40 (![X_t_42: $i] : ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))),
% 0.10/0.40 inference(quant_intro,[status(thm)],[43])).
% 0.10/0.40 tff(45,axiom,(![X_t_42: $i] : ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | gt(fifo_length, int_level(X_t_42))) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_44')).
% 0.10/0.40 tff(46,plain,
% 0.10/0.40 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))),
% 0.10/0.40 inference(modus_ponens,[status(thm)],[45, 44])).
% 0.10/0.40 tff(47,plain,
% 0.10/0.40 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))),
% 0.10/0.40 inference(modus_ponens,[status(thm)],[46, 42])).
% 0.10/0.40 tff(48,plain,(
% 0.10/0.40 ![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))),
% 0.10/0.40 inference(skolemize,[status(sab)],[47])).
% 0.10/0.40 tff(49,plain,
% 0.10/0.40 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))),
% 0.10/0.40 inference(modus_ponens,[status(thm)],[48, 41])).
% 0.10/0.40 tff(50,plain,
% 0.10/0.40 (((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))) | (p_Rd(t_139) | p_Reset(t_139) | (~p_Wr(t_139)) | gt(fifo_length, int_level(t_139)) | (int_level(plus(t_139, n1)) = int_level(t_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))) | p_Rd(t_139) | p_Reset(t_139) | (~p_Wr(t_139)) | gt(fifo_length, int_level(t_139)) | (int_level(plus(t_139, n1)) = int_level(t_139)))),
% 0.10/0.40 inference(rewrite,[status(thm)],[])).
% 0.10/0.40 tff(51,plain,
% 0.10/0.40 ((p_Reset(t_139) | p_Rd(t_139) | (~p_Wr(t_139)) | gt(fifo_length, int_level(t_139)) | (int_level(plus(t_139, n1)) = int_level(t_139))) <=> (p_Rd(t_139) | p_Reset(t_139) | (~p_Wr(t_139)) | gt(fifo_length, int_level(t_139)) | (int_level(plus(t_139, n1)) = int_level(t_139)))),
% 0.10/0.40 inference(rewrite,[status(thm)],[])).
% 0.10/0.40 tff(52,plain,
% 0.10/0.40 (((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))) | (p_Reset(t_139) | p_Rd(t_139) | (~p_Wr(t_139)) | gt(fifo_length, int_level(t_139)) | (int_level(plus(t_139, n1)) = int_level(t_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))) | (p_Rd(t_139) | p_Reset(t_139) | (~p_Wr(t_139)) | gt(fifo_length, int_level(t_139)) | (int_level(plus(t_139, n1)) = int_level(t_139))))),
% 0.10/0.40 inference(monotonicity,[status(thm)],[51])).
% 0.10/0.40 tff(53,plain,
% 0.10/0.40 (((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))) | (p_Reset(t_139) | p_Rd(t_139) | (~p_Wr(t_139)) | gt(fifo_length, int_level(t_139)) | (int_level(plus(t_139, n1)) = int_level(t_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))) | p_Rd(t_139) | p_Reset(t_139) | (~p_Wr(t_139)) | gt(fifo_length, int_level(t_139)) | (int_level(plus(t_139, n1)) = int_level(t_139)))),
% 0.10/0.40 inference(transitivity,[status(thm)],[52, 50])).
% 0.10/0.40 tff(54,plain,
% 0.10/0.40 ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))) | (p_Reset(t_139) | p_Rd(t_139) | (~p_Wr(t_139)) | gt(fifo_length, int_level(t_139)) | (int_level(plus(t_139, n1)) = int_level(t_139)))),
% 0.10/0.40 inference(quant_inst,[status(thm)],[])).
% 0.10/0.40 tff(55,plain,
% 0.10/0.40 ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (int_level(plus(X_t_42, n1)) = int_level(X_t_42)))) | p_Rd(t_139) | p_Reset(t_139) | (~p_Wr(t_139)) | gt(fifo_length, int_level(t_139)) | (int_level(plus(t_139, n1)) = int_level(t_139))),
% 0.10/0.40 inference(modus_ponens,[status(thm)],[54, 53])).
% 0.10/0.40 tff(56,plain,
% 0.10/0.40 (gt(fifo_length, int_level(t_139)) | (int_level(plus(t_139, n1)) = int_level(t_139))),
% 0.10/0.40 inference(unit_resolution,[status(thm)],[55, 49, 39, 36, 33])).
% 0.10/0.40 tff(57,plain,
% 0.10/0.40 (int_level(plus(t_139, n1)) = int_level(t_139)),
% 0.10/0.40 inference(unit_resolution,[status(thm)],[56, 30])).
% 0.10/0.40 tff(58,plain,
% 0.10/0.40 (int_level(plus(t_139, n1)) = fifo_length),
% 0.10/0.40 inference(transitivity,[status(thm)],[57, 14])).
% 0.10/0.40 tff(59,plain,
% 0.10/0.40 (^[X_t_42: $i] : refl((p_Reset(X_t_42) | p_Wr_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42))) <=> (p_Reset(X_t_42) | p_Wr_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42))))),
% 0.10/0.40 inference(bind,[status(th)],[])).
% 0.10/0.40 tff(60,plain,
% 0.10/0.40 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Wr_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | p_Wr_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)))),
% 0.10/0.40 inference(quant_intro,[status(thm)],[59])).
% 0.10/0.40 tff(61,plain,
% 0.10/0.40 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Wr_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | p_Wr_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)))),
% 0.10/0.40 inference(rewrite,[status(thm)],[])).
% 0.10/0.40 tff(62,plain,
% 0.10/0.40 (^[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(fifo_length, int_level(X_t_42))) <=> ((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42))) | gt(fifo_length, int_level(X_t_42))))), rewrite(((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42))) | gt(fifo_length, int_level(X_t_42))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)))), ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | gt(fifo_length, int_level(X_t_42))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42))))), (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | gt(fifo_length, int_level(X_t_42))) | p_Wr_error(plus(X_t_42, n1))) <=> ((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42))) | p_Wr_error(plus(X_t_42, n1))))), rewrite(((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42))) | p_Wr_error(plus(X_t_42, n1))) <=> (p_Reset(X_t_42) | p_Wr_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)))), (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | gt(fifo_length, int_level(X_t_42))) | p_Wr_error(plus(X_t_42, n1))) <=> (p_Reset(X_t_42) | p_Wr_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)))))),
% 0.10/0.40 inference(bind,[status(th)],[])).
% 0.10/0.40 tff(63,plain,
% 0.10/0.40 (![X_t_42: $i] : ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | gt(fifo_length, int_level(X_t_42))) | p_Wr_error(plus(X_t_42, n1))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | p_Wr_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)))),
% 0.10/0.40 inference(quant_intro,[status(thm)],[62])).
% 0.10/0.40 tff(64,axiom,(![X_t_42: $i] : ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | gt(fifo_length, int_level(X_t_42))) | p_Wr_error(plus(X_t_42, n1)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_42')).
% 0.10/0.41 tff(65,plain,
% 0.10/0.41 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Wr_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)))),
% 0.10/0.41 inference(modus_ponens,[status(thm)],[64, 63])).
% 0.10/0.41 tff(66,plain,
% 0.10/0.41 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Wr_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)))),
% 0.10/0.41 inference(modus_ponens,[status(thm)],[65, 61])).
% 0.10/0.41 tff(67,plain,(
% 0.10/0.41 ![X_t_42: $i] : (p_Reset(X_t_42) | p_Wr_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)))),
% 0.10/0.41 inference(skolemize,[status(sab)],[66])).
% 0.10/0.41 tff(68,plain,
% 0.10/0.41 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Wr_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)))),
% 0.10/0.41 inference(modus_ponens,[status(thm)],[67, 60])).
% 0.10/0.41 tff(69,plain,
% 0.10/0.41 (((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Wr_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)))) | (p_Rd(t_139) | p_Reset(t_139) | p_Wr_error(plus(t_139, n1)) | (~p_Wr(t_139)) | gt(fifo_length, int_level(t_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Wr_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)))) | p_Rd(t_139) | p_Reset(t_139) | p_Wr_error(plus(t_139, n1)) | (~p_Wr(t_139)) | gt(fifo_length, int_level(t_139)))),
% 0.10/0.41 inference(rewrite,[status(thm)],[])).
% 0.10/0.41 tff(70,plain,
% 0.10/0.41 ((p_Reset(t_139) | p_Wr_error(plus(t_139, n1)) | p_Rd(t_139) | (~p_Wr(t_139)) | gt(fifo_length, int_level(t_139))) <=> (p_Rd(t_139) | p_Reset(t_139) | p_Wr_error(plus(t_139, n1)) | (~p_Wr(t_139)) | gt(fifo_length, int_level(t_139)))),
% 0.10/0.41 inference(rewrite,[status(thm)],[])).
% 0.10/0.41 tff(71,plain,
% 0.10/0.41 (((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Wr_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)))) | (p_Reset(t_139) | p_Wr_error(plus(t_139, n1)) | p_Rd(t_139) | (~p_Wr(t_139)) | gt(fifo_length, int_level(t_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Wr_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)))) | (p_Rd(t_139) | p_Reset(t_139) | p_Wr_error(plus(t_139, n1)) | (~p_Wr(t_139)) | gt(fifo_length, int_level(t_139))))),
% 0.10/0.41 inference(monotonicity,[status(thm)],[70])).
% 0.10/0.41 tff(72,plain,
% 0.10/0.41 (((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Wr_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)))) | (p_Reset(t_139) | p_Wr_error(plus(t_139, n1)) | p_Rd(t_139) | (~p_Wr(t_139)) | gt(fifo_length, int_level(t_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Wr_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)))) | p_Rd(t_139) | p_Reset(t_139) | p_Wr_error(plus(t_139, n1)) | (~p_Wr(t_139)) | gt(fifo_length, int_level(t_139)))),
% 0.10/0.41 inference(transitivity,[status(thm)],[71, 69])).
% 0.10/0.41 tff(73,plain,
% 0.10/0.41 ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Wr_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)))) | (p_Reset(t_139) | p_Wr_error(plus(t_139, n1)) | p_Rd(t_139) | (~p_Wr(t_139)) | gt(fifo_length, int_level(t_139)))),
% 0.10/0.41 inference(quant_inst,[status(thm)],[])).
% 0.10/0.41 tff(74,plain,
% 0.10/0.41 ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Wr_error(plus(X_t_42, n1)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)))) | p_Rd(t_139) | p_Reset(t_139) | p_Wr_error(plus(t_139, n1)) | (~p_Wr(t_139)) | gt(fifo_length, int_level(t_139))),
% 0.10/0.41 inference(modus_ponens,[status(thm)],[73, 72])).
% 0.10/0.41 tff(75,plain,
% 0.10/0.41 (p_Wr_error(plus(t_139, n1)) | gt(fifo_length, int_level(t_139))),
% 0.10/0.41 inference(unit_resolution,[status(thm)],[74, 68, 39, 36, 33])).
% 0.10/0.41 tff(76,plain,
% 0.10/0.41 (p_Wr_error(plus(t_139, n1))),
% 0.10/0.41 inference(unit_resolution,[status(thm)],[75, 30])).
% 0.10/0.41 tff(77,plain,
% 0.10/0.41 (((~p_Full(plus(t_139, n1))) | (~p_Wr_error(plus(t_139, n1)))) <=> ((~p_Full(plus(t_139, n1))) | (~p_Wr_error(plus(t_139, n1))))),
% 0.10/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(78,axiom,((~p_Full(plus(t_139, n1))) | (~p_Wr_error(plus(t_139, n1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','quest_5')).
% 0.20/0.41 tff(79,plain,
% 0.20/0.41 ((~p_Full(plus(t_139, n1))) | (~p_Wr_error(plus(t_139, n1)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[78, 77])).
% 0.20/0.41 tff(80,plain,
% 0.20/0.41 (~p_Full(plus(t_139, n1))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[79, 76])).
% 0.20/0.41 tff(81,plain,
% 0.20/0.41 (^[X_t_33: $i] : refl((p_Full(X_t_33) | (~(int_level(X_t_33) = fifo_length))) <=> (p_Full(X_t_33) | (~(int_level(X_t_33) = fifo_length))))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(82,plain,
% 0.20/0.41 (![X_t_33: $i] : (p_Full(X_t_33) | (~(int_level(X_t_33) = fifo_length))) <=> ![X_t_33: $i] : (p_Full(X_t_33) | (~(int_level(X_t_33) = fifo_length)))),
% 0.20/0.41 inference(quant_intro,[status(thm)],[81])).
% 0.20/0.41 tff(83,plain,
% 0.20/0.41 (![X_t_33: $i] : (p_Full(X_t_33) | (~(int_level(X_t_33) = fifo_length))) <=> ![X_t_33: $i] : (p_Full(X_t_33) | (~(int_level(X_t_33) = fifo_length)))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(84,plain,
% 0.20/0.41 (^[X_t_33: $i] : rewrite(((~(int_level(X_t_33) = fifo_length)) | p_Full(X_t_33)) <=> (p_Full(X_t_33) | (~(int_level(X_t_33) = fifo_length))))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(85,plain,
% 0.20/0.41 (![X_t_33: $i] : ((~(int_level(X_t_33) = fifo_length)) | p_Full(X_t_33)) <=> ![X_t_33: $i] : (p_Full(X_t_33) | (~(int_level(X_t_33) = fifo_length)))),
% 0.20/0.41 inference(quant_intro,[status(thm)],[84])).
% 0.20/0.41 tff(86,axiom,(![X_t_33: $i] : ((~(int_level(X_t_33) = fifo_length)) | p_Full(X_t_33))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_22')).
% 0.20/0.41 tff(87,plain,
% 0.20/0.41 (![X_t_33: $i] : (p_Full(X_t_33) | (~(int_level(X_t_33) = fifo_length)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[86, 85])).
% 0.20/0.41 tff(88,plain,
% 0.20/0.41 (![X_t_33: $i] : (p_Full(X_t_33) | (~(int_level(X_t_33) = fifo_length)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[87, 83])).
% 0.20/0.41 tff(89,plain,(
% 0.20/0.41 ![X_t_33: $i] : (p_Full(X_t_33) | (~(int_level(X_t_33) = fifo_length)))),
% 0.20/0.41 inference(skolemize,[status(sab)],[88])).
% 0.20/0.41 tff(90,plain,
% 0.20/0.41 (![X_t_33: $i] : (p_Full(X_t_33) | (~(int_level(X_t_33) = fifo_length)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[89, 82])).
% 0.20/0.41 tff(91,plain,
% 0.20/0.41 (((~![X_t_33: $i] : (p_Full(X_t_33) | (~(int_level(X_t_33) = fifo_length)))) | (p_Full(plus(t_139, n1)) | (~(int_level(plus(t_139, n1)) = fifo_length)))) <=> ((~![X_t_33: $i] : (p_Full(X_t_33) | (~(int_level(X_t_33) = fifo_length)))) | p_Full(plus(t_139, n1)) | (~(int_level(plus(t_139, n1)) = fifo_length)))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(92,plain,
% 0.20/0.41 ((~![X_t_33: $i] : (p_Full(X_t_33) | (~(int_level(X_t_33) = fifo_length)))) | (p_Full(plus(t_139, n1)) | (~(int_level(plus(t_139, n1)) = fifo_length)))),
% 0.20/0.41 inference(quant_inst,[status(thm)],[])).
% 0.20/0.41 tff(93,plain,
% 0.20/0.41 ((~![X_t_33: $i] : (p_Full(X_t_33) | (~(int_level(X_t_33) = fifo_length)))) | p_Full(plus(t_139, n1)) | (~(int_level(plus(t_139, n1)) = fifo_length))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[92, 91])).
% 0.20/0.41 tff(94,plain,
% 0.20/0.41 ($false),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[93, 90, 80, 58])).
% 0.20/0.41 % SZS output end Proof
% 0.20/0.42 % E exiting
%------------------------------------------------------------------------------