TSTP Solution File: DAT011_1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : DAT011_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n004.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 : Wed Aug 30 22:15:20 EDT 2023
% Result : Theorem 3.74s 1.12s
% Output : CNFRefutation 3.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : DAT011_1 : TPTP v8.1.2. Released v5.0.0.
% 0.00/0.12 % Command : run_iprover %s %d THM
% 0.13/0.33 % Computer : n004.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu Aug 24 14:21:53 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.19/0.45 Running TFA theorem proving
% 0.19/0.45 Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.74/1.12 % SZS status Started for theBenchmark.p
% 3.74/1.12 % SZS status Theorem for theBenchmark.p
% 3.74/1.12
% 3.74/1.12 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.74/1.12
% 3.74/1.12 ------ iProver source info
% 3.74/1.12
% 3.74/1.12 git: date: 2023-05-31 18:12:56 +0000
% 3.74/1.12 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.74/1.12 git: non_committed_changes: false
% 3.74/1.12 git: last_make_outside_of_git: false
% 3.74/1.12
% 3.74/1.12 ------ Parsing...
% 3.74/1.12 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.74/1.12
% 3.74/1.12 ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 3.74/1.12
% 3.74/1.12 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.74/1.12
% 3.74/1.12 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.74/1.12 ------ Proving...
% 3.74/1.12 ------ Problem Properties
% 3.74/1.12
% 3.74/1.12
% 3.74/1.12 clauses 20
% 3.74/1.12 conjectures 15
% 3.74/1.12 EPR 6
% 3.74/1.12 Horn 16
% 3.74/1.12 unary 14
% 3.74/1.12 binary 3
% 3.74/1.12 lits 29
% 3.74/1.12 lits eq 11
% 3.74/1.12 fd_pure 0
% 3.74/1.12 fd_pseudo 0
% 3.74/1.12 fd_cond 0
% 3.74/1.12 fd_pseudo_cond 2
% 3.74/1.12 AC symbols 1
% 3.74/1.12
% 3.74/1.12 ------ Input Options Time Limit: Unbounded
% 3.74/1.12
% 3.74/1.12
% 3.74/1.12 ------
% 3.74/1.12 Current options:
% 3.74/1.12 ------
% 3.74/1.12
% 3.74/1.12
% 3.74/1.12
% 3.74/1.12
% 3.74/1.12 ------ Proving...
% 3.74/1.12
% 3.74/1.12
% 3.74/1.12 % SZS status Theorem for theBenchmark.p
% 3.74/1.12
% 3.74/1.12 % SZS output start CNFRefutation for theBenchmark.p
% 3.74/1.12
% 3.74/1.12 tff(f1,axiom,(
% 3.74/1.12 ! [X0 : array,X1 : $int,X2 : $int] : read(write(X0,X1,X2),X1) = X2),
% 3.74/1.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1)).
% 3.74/1.12
% 3.74/1.12 tff(f2,axiom,(
% 3.74/1.12 ! [X3 : array,X4 : $int,X5 : $int,X6 : $int] : (read(write(X3,X4,X6),X5) = read(X3,X5) | X4 = X5)),
% 3.74/1.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)).
% 3.74/1.12
% 3.74/1.12 tff(f3,conjecture,(
% 3.74/1.12 ! [X0 : array,X1 : array,X2 : $int,X3 : $int] : ((write(X1,$sum(X3,1),3) = X0 & ! [X4 : $int] : (($lesseq(X4,X3) & $lesseq(X2,X4)) => $greater(read(X1,X4),0))) => ! [X5 : $int] : (($lesseq(X5,$sum(X3,1)) & $lesseq(X2,X5)) => $greater(read(X0,X5),0)))),
% 3.74/1.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)).
% 3.74/1.12
% 3.74/1.12 tff(f4,negated_conjecture,(
% 3.74/1.12 ~! [X0 : array,X1 : array,X2 : $int,X3 : $int] : ((write(X1,$sum(X3,1),3) = X0 & ! [X4 : $int] : (($lesseq(X4,X3) & $lesseq(X2,X4)) => $greater(read(X1,X4),0))) => ! [X5 : $int] : (($lesseq(X5,$sum(X3,1)) & $lesseq(X2,X5)) => $greater(read(X0,X5),0)))),
% 3.74/1.12 inference(negated_conjecture,[],[f3])).
% 3.74/1.12
% 3.74/1.12 tff(f5,plain,(
% 3.74/1.12 ~! [X0 : array,X1 : array,X2 : $int,X3 : $int] : ((write(X1,$sum(X3,1),3) = X0 & ! [X4 : $int] : ((~$less(X3,X4) & ~$less(X4,X2)) => $less(0,read(X1,X4)))) => ! [X5 : $int] : ((~$less($sum(X3,1),X5) & ~$less(X5,X2)) => $less(0,read(X0,X5))))),
% 3.74/1.12 inference(theory_normalization,[],[f4])).
% 3.74/1.12
% 3.74/1.12 tff(f6,plain,(
% 3.74/1.12 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 3.74/1.12 introduced(theory_axiom_138,[])).
% 3.74/1.12
% 3.74/1.12 tff(f7,plain,(
% 3.74/1.12 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 3.74/1.12 introduced(theory_axiom_139,[])).
% 3.74/1.12
% 3.74/1.12 tff(f8,plain,(
% 3.74/1.12 ( ! [X0 : $int] : ($sum(X0,0) = X0) )),
% 3.74/1.12 introduced(theory_axiom_140,[])).
% 3.74/1.12
% 3.74/1.12 tff(f11,plain,(
% 3.74/1.12 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 3.74/1.12 introduced(theory_axiom_145,[])).
% 3.74/1.12
% 3.74/1.12 tff(f12,plain,(
% 3.74/1.12 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )),
% 3.74/1.12 introduced(theory_axiom_146,[])).
% 3.74/1.12
% 3.74/1.12 tff(f13,plain,(
% 3.74/1.12 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )),
% 3.74/1.12 introduced(theory_axiom_147,[])).
% 3.74/1.12
% 3.74/1.12 tff(f15,plain,(
% 3.74/1.12 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,$sum(X0,1))) )),
% 3.74/1.12 introduced(theory_axiom_150,[])).
% 3.74/1.12
% 3.74/1.12 tff(f17,plain,(
% 3.74/1.12 ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,$sum(X0,1))) )),
% 3.74/1.12 introduced(theory_axiom_164,[])).
% 3.74/1.12
% 3.74/1.12 tff(f18,plain,(
% 3.74/1.12 ! [X0 : array,X1 : $int,X2 : $int,X3 : $int] : (read(write(X0,X1,X3),X2) = read(X0,X2) | X1 = X2)),
% 3.74/1.12 inference(rectify,[],[f2])).
% 3.74/1.12
% 3.74/1.12 tff(f19,plain,(
% 3.74/1.12 ? [X0 : array,X1 : array,X2 : $int,X3 : $int] : (? [X5 : $int] : (~$less(0,read(X0,X5)) & (~$less($sum(X3,1),X5) & ~$less(X5,X2))) & (write(X1,$sum(X3,1),3) = X0 & ! [X4 : $int] : ($less(0,read(X1,X4)) | ($less(X3,X4) | $less(X4,X2)))))),
% 3.74/1.12 inference(ennf_transformation,[],[f5])).
% 3.74/1.12
% 3.74/1.12 tff(f20,plain,(
% 3.74/1.12 ? [X0 : array,X1 : array,X2 : $int,X3 : $int] : (? [X5 : $int] : (~$less(0,read(X0,X5)) & ~$less($sum(X3,1),X5) & ~$less(X5,X2)) & write(X1,$sum(X3,1),3) = X0 & ! [X4 : $int] : ($less(0,read(X1,X4)) | $less(X3,X4) | $less(X4,X2)))),
% 3.74/1.12 inference(flattening,[],[f19])).
% 3.74/1.12
% 3.74/1.12 tff(f21,plain,(
% 3.74/1.12 ? [X0 : array,X1 : array,X2 : $int,X3 : $int] : (? [X4 : $int] : (~$less(0,read(X0,X4)) & ~$less($sum(X3,1),X4) & ~$less(X4,X2)) & write(X1,$sum(X3,1),3) = X0 & ! [X5 : $int] : ($less(0,read(X1,X5)) | $less(X3,X5) | $less(X5,X2)))),
% 3.74/1.12 inference(rectify,[],[f20])).
% 3.74/1.12
% 3.74/1.12 tff(f22,plain,(
% 3.74/1.12 ? [X0 : array,X1 : array,X2 : $int,X3 : $int] : (? [X4 : $int] : (~$less(0,read(X0,X4)) & ~$less($sum(X3,1),X4) & ~$less(X4,X2)) & write(X1,$sum(X3,1),3) = X0 & ! [X5 : $int] : ($less(0,read(X1,X5)) | $less(X3,X5) | $less(X5,X2))) => (? [X4 : $int] : (~$less(0,read(sK0,X4)) & ~$less($sum(sK3,1),X4) & ~$less(X4,sK2)) & sK0 = write(sK1,$sum(sK3,1),3) & ! [X5 : $int] : ($less(0,read(sK1,X5)) | $less(sK3,X5) | $less(X5,sK2)))),
% 3.74/1.12 introduced(choice_axiom,[])).
% 3.74/1.12
% 3.74/1.12 tff(f23,plain,(
% 3.74/1.12 ? [X4 : $int] : (~$less(0,read(sK0,X4)) & ~$less($sum(sK3,1),X4) & ~$less(X4,sK2)) => (~$less(0,read(sK0,sK4)) & ~$less($sum(sK3,1),sK4) & ~$less(sK4,sK2))),
% 3.74/1.12 introduced(choice_axiom,[])).
% 3.74/1.12
% 3.74/1.12 tff(f24,plain,(
% 3.74/1.12 (~$less(0,read(sK0,sK4)) & ~$less($sum(sK3,1),sK4) & ~$less(sK4,sK2)) & sK0 = write(sK1,$sum(sK3,1),3) & ! [X5 : $int] : ($less(0,read(sK1,X5)) | $less(sK3,X5) | $less(X5,sK2))),
% 3.74/1.12 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f21,f23,f22])).
% 3.74/1.12
% 3.74/1.12 tff(f25,plain,(
% 3.74/1.12 ( ! [X2 : $int,X0 : array,X1 : $int] : (read(write(X0,X1,X2),X1) = X2) )),
% 3.74/1.12 inference(cnf_transformation,[],[f1])).
% 3.74/1.12
% 3.74/1.12 tff(f26,plain,(
% 3.74/1.12 ( ! [X2 : $int,X3 : $int,X0 : array,X1 : $int] : (read(write(X0,X1,X3),X2) = read(X0,X2) | X1 = X2) )),
% 3.74/1.12 inference(cnf_transformation,[],[f18])).
% 3.74/1.12
% 3.74/1.12 tff(f27,plain,(
% 3.74/1.12 ( ! [X5 : $int] : ($less(0,read(sK1,X5)) | $less(sK3,X5) | $less(X5,sK2)) )),
% 3.74/1.12 inference(cnf_transformation,[],[f24])).
% 3.74/1.12
% 3.74/1.12 tff(f28,plain,(
% 3.74/1.12 sK0 = write(sK1,$sum(sK3,1),3)),
% 3.74/1.12 inference(cnf_transformation,[],[f24])).
% 3.74/1.12
% 3.74/1.12 tff(f29,plain,(
% 3.74/1.12 ~$less(sK4,sK2)),
% 3.74/1.12 inference(cnf_transformation,[],[f24])).
% 3.74/1.12
% 3.74/1.12 tff(f30,plain,(
% 3.74/1.12 ~$less($sum(sK3,1),sK4)),
% 3.74/1.12 inference(cnf_transformation,[],[f24])).
% 3.74/1.12
% 3.74/1.12 tff(f31,plain,(
% 3.74/1.12 ~$less(0,read(sK0,sK4))),
% 3.74/1.12 inference(cnf_transformation,[],[f24])).
% 3.74/1.12
% 3.74/1.12 cnf(c_49,plain,
% 3.74/1.12 (~$less_int(X0_3,$sum_int(X1_3,1))|~$less_int(X1_3,X0_3)),
% 3.74/1.12 inference(cnf_transformation,[],[f17])).
% 3.74/1.12
% 3.74/1.12 cnf(c_51,negated_conjecture,
% 3.74/1.12 ($less_int(X0_3,$sum_int(X1_3,1))|$less_int(X1_3,X0_3)),
% 3.74/1.12 inference(cnf_transformation,[],[f15])).
% 3.74/1.12
% 3.74/1.12 cnf(c_53,negated_conjecture,
% 3.74/1.12 (X0_3 = X1_3|$less_int(X0_3,X1_3)|$less_int(X1_3,X0_3)),
% 3.74/1.12 inference(cnf_transformation,[],[f13])).
% 3.74/1.12
% 3.74/1.12 cnf(c_54,plain,
% 3.74/1.12 (~$less_int(X0_3,X1_3)|~$less_int(X1_3,X2_3)|$less_int(X0_3,X2_3)),
% 3.74/1.12 inference(cnf_transformation,[],[f12])).
% 3.74/1.12
% 3.74/1.12 cnf(c_55,plain,
% 3.74/1.12 (~$less_int(X0_3,X0_3)),
% 3.74/1.12 inference(cnf_transformation,[],[f11])).
% 3.74/1.12
% 3.74/1.12 cnf(c_58,negated_conjecture,
% 3.74/1.12 ($sum_int(X0_3,0) = X0_3),
% 3.74/1.12 inference(cnf_transformation,[],[f8])).
% 3.74/1.12
% 3.74/1.12 cnf(c_59,negated_conjecture,
% 3.74/1.12 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 3.74/1.12 inference(cnf_transformation,[],[f7])).
% 3.74/1.12
% 3.74/1.12 cnf(c_60,negated_conjecture,
% 3.74/1.12 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 3.74/1.12 inference(cnf_transformation,[],[f6])).
% 3.74/1.12
% 3.74/1.12 cnf(c_61,negated_conjecture,
% 3.74/1.12 (read(write(X0_13,X0_3,X1_3),X0_3) = X1_3),
% 3.74/1.12 inference(cnf_transformation,[],[f25])).
% 3.74/1.12
% 3.74/1.12 cnf(c_62,negated_conjecture,
% 3.74/1.12 (read(write(X0_13,X0_3,X1_3),X2_3) = read(X0_13,X2_3)|X0_3 = X2_3),
% 3.74/1.12 inference(cnf_transformation,[],[f26])).
% 3.74/1.12
% 3.74/1.12 cnf(c_63,negated_conjecture,
% 3.74/1.12 (~$less_int(0,read(sK0,sK4))),
% 3.74/1.12 inference(cnf_transformation,[],[f31])).
% 3.74/1.12
% 3.74/1.12 cnf(c_64,negated_conjecture,
% 3.74/1.12 (~$less_int($sum_int(sK3,1),sK4)),
% 3.74/1.12 inference(cnf_transformation,[],[f30])).
% 3.74/1.12
% 3.74/1.12 cnf(c_65,negated_conjecture,
% 3.74/1.12 (~$less_int(sK4,sK2)),
% 3.74/1.12 inference(cnf_transformation,[],[f29])).
% 3.74/1.12
% 3.74/1.12 cnf(c_66,negated_conjecture,
% 3.74/1.12 (write(sK1,$sum_int(sK3,1),3) = sK0),
% 3.74/1.12 inference(cnf_transformation,[],[f28])).
% 3.74/1.12
% 3.74/1.12 cnf(c_67,negated_conjecture,
% 3.74/1.12 ($less_int(0,read(sK1,X0_3))|$less_int(X0_3,sK2)|$less_int(sK3,X0_3)),
% 3.74/1.12 inference(cnf_transformation,[],[f27])).
% 3.74/1.12
% 3.74/1.12 cnf(c_69,plain,($less_int(1,3)),theory(arith)).
% 3.74/1.12
% 3.74/1.12 cnf(c_82,negated_conjecture,
% 3.74/1.12 (~$less_int($sum_int(1,sK3),sK4)),
% 3.74/1.12 inference(theory_normalisation,[status(thm)],[c_64,c_59,c_60])).
% 3.74/1.12
% 3.74/1.12 cnf(c_83,negated_conjecture,
% 3.74/1.12 (write(sK1,$sum_int(1,sK3),3) = sK0),
% 3.74/1.12 inference(theory_normalisation,[status(thm)],[c_66,c_59,c_60])).
% 3.74/1.12
% 3.74/1.12 cnf(c_722,plain,
% 3.74/1.12 ($less_int(X0_3,$sum_int(X0_3,1))),
% 3.74/1.12 inference(superposition,[status(thm)],[c_51,c_55])).
% 3.74/1.12
% 3.74/1.12 cnf(c_731,plain,
% 3.74/1.12 ($sum_int(1,sK3) = sK4|$less_int(sK4,$sum_int(1,sK3))),
% 3.74/1.12 inference(superposition,[status(thm)],[c_53,c_82])).
% 3.74/1.12
% 3.74/1.12 cnf(c_738,plain,
% 3.74/1.12 (~$less_int(X0_3,$sum_int(1,X1_3))|~$less_int(X1_3,X0_3)),
% 3.74/1.12 inference(superposition,[status(thm)],[c_60,c_49])).
% 3.74/1.12
% 3.74/1.12 cnf(c_742,plain,
% 3.74/1.12 ($less_int(0,read(sK1,sK4))|$less_int(sK3,sK4)),
% 3.74/1.12 inference(superposition,[status(thm)],[c_67,c_65])).
% 3.74/1.12
% 3.74/1.12 cnf(c_774,plain,
% 3.74/1.12 (read(sK0,X0_3) = read(sK1,X0_3)|$sum_int(1,sK3) = X0_3),
% 3.74/1.12 inference(superposition,[status(thm)],[c_83,c_62])).
% 3.74/1.12
% 3.74/1.12 cnf(c_1211,plain,
% 3.74/1.12 (~$less_int(1,1)),
% 3.74/1.12 inference(superposition,[status(thm)],[c_722,c_738])).
% 3.74/1.12
% 3.74/1.12 cnf(c_1412,plain,
% 3.74/1.12 (~$less_int(sK3,sK4)|$sum_int(1,sK3) = sK4),
% 3.74/1.12 inference(superposition,[status(thm)],[c_731,c_738])).
% 3.74/1.12
% 3.74/1.12 cnf(c_1584,plain,
% 3.74/1.12 ($sum_int(1,sK3) = sK4|$less_int(0,read(sK0,sK4))|$less_int(sK3,sK4)),
% 3.74/1.12 inference(superposition,[status(thm)],[c_774,c_742])).
% 3.74/1.12
% 3.74/1.12 cnf(c_2145,plain,
% 3.74/1.12 ($sum_int(1,sK3) = sK4),
% 3.74/1.12 inference(global_subsumption_just,
% 3.74/1.12 [status(thm)],
% 3.74/1.12 [c_1584,c_63,c_1412,c_1584])).
% 3.74/1.12
% 3.74/1.12 cnf(c_3314,plain,
% 3.74/1.12 ($sum_int(0,X0_3) = X0_3),
% 3.74/1.12 inference(superposition,[status(thm)],[c_58,c_60])).
% 3.74/1.12
% 3.74/1.12 cnf(c_3321,plain,
% 3.74/1.12 ($less_int(read(sK0,sK4),$sum_int(0,1))),
% 3.74/1.12 inference(superposition,[status(thm)],[c_51,c_63])).
% 3.74/1.12
% 3.74/1.12 cnf(c_3325,plain,
% 3.74/1.12 (read(sK0,$sum_int(1,sK3)) = 3),
% 3.74/1.12 inference(superposition,[status(thm)],[c_83,c_61])).
% 3.74/1.12
% 3.74/1.12 cnf(c_3333,plain,
% 3.74/1.12 ($sum_int(1,sK3) = sK4|$less_int(sK4,$sum_int(1,sK3))),
% 3.74/1.12 inference(superposition,[status(thm)],[c_53,c_82])).
% 3.74/1.12
% 3.74/1.12 cnf(c_3358,plain,
% 3.74/1.12 (~$less_int(3,X0_3)|$less_int(1,X0_3)),
% 3.74/1.12 inference(superposition,[status(thm)],[c_69,c_54])).
% 3.74/1.12
% 3.74/1.12 cnf(c_3381,plain,
% 3.74/1.12 ($less_int(read(sK0,sK4),1)),
% 3.74/1.12 inference(demodulation,[status(thm)],[c_3321,c_3314])).
% 3.74/1.12
% 3.74/1.12 cnf(c_3394,plain,
% 3.74/1.12 ($sum_int(1,sK3) = sK4),
% 3.74/1.12 inference(global_subsumption_just,[status(thm)],[c_3333,c_2145])).
% 3.74/1.12
% 3.74/1.12 cnf(c_3444,plain,
% 3.74/1.12 ($less_int(read(sK0,$sum_int(1,sK3)),1)),
% 3.74/1.12 inference(superposition,[status(thm)],[c_3394,c_3381])).
% 3.74/1.12
% 3.74/1.12 cnf(c_3536,plain,
% 3.74/1.12 (~$less_int(read(sK0,$sum_int(1,sK3)),X0_3)|$less_int(1,X0_3)),
% 3.74/1.12 inference(superposition,[status(thm)],[c_3325,c_3358])).
% 3.74/1.12
% 3.74/1.12 cnf(c_9927,plain,
% 3.74/1.12 ($less_int(1,1)),
% 3.74/1.12 inference(superposition,[status(thm)],[c_3444,c_3536])).
% 3.74/1.12
% 3.74/1.12 cnf(c_15280,plain,
% 3.74/1.12 ($false),
% 3.74/1.12 inference(prop_impl_just,[status(thm)],[c_9927,c_1211])).
% 3.74/1.12
% 3.74/1.12
% 3.74/1.12 % SZS output end CNFRefutation for theBenchmark.p
% 3.74/1.12
% 3.74/1.12
%------------------------------------------------------------------------------