TSTP Solution File: DAT012_1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : DAT012_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n014.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 3.96s 1.19s
% Output : CNFRefutation 3.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : DAT012_1 : TPTP v8.1.2. Released v5.0.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 14:42:33 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running TFA theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.96/1.19 % SZS status Started for theBenchmark.p
% 3.96/1.19 % SZS status Theorem for theBenchmark.p
% 3.96/1.19
% 3.96/1.19 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.96/1.19
% 3.96/1.19 ------ iProver source info
% 3.96/1.19
% 3.96/1.19 git: date: 2023-05-31 18:12:56 +0000
% 3.96/1.19 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.96/1.19 git: non_committed_changes: false
% 3.96/1.19 git: last_make_outside_of_git: false
% 3.96/1.19
% 3.96/1.19 ------ Parsing...
% 3.96/1.19 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.96/1.19
% 3.96/1.19 ------ 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
% 3.96/1.19
% 3.96/1.19 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.96/1.19
% 3.96/1.19 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.96/1.19 ------ Proving...
% 3.96/1.19 ------ Problem Properties
% 3.96/1.19
% 3.96/1.19
% 3.96/1.19 clauses 20
% 3.96/1.19 conjectures 5
% 3.96/1.19 EPR 7
% 3.96/1.19 Horn 16
% 3.96/1.19 unary 14
% 3.96/1.19 binary 3
% 3.96/1.19 lits 29
% 3.96/1.19 lits eq 11
% 3.96/1.19 fd_pure 0
% 3.96/1.19 fd_pseudo 0
% 3.96/1.19 fd_cond 0
% 3.96/1.19 fd_pseudo_cond 2
% 3.96/1.19 AC symbols 1
% 3.96/1.19
% 3.96/1.19 ------ Input Options Time Limit: Unbounded
% 3.96/1.19
% 3.96/1.19
% 3.96/1.19 ------
% 3.96/1.19 Current options:
% 3.96/1.19 ------
% 3.96/1.19
% 3.96/1.19
% 3.96/1.19
% 3.96/1.19
% 3.96/1.19 ------ Proving...
% 3.96/1.19
% 3.96/1.19
% 3.96/1.19 % SZS status Theorem for theBenchmark.p
% 3.96/1.19
% 3.96/1.19 % SZS output start CNFRefutation for theBenchmark.p
% 3.96/1.19
% 3.96/1.19 tff(f1,axiom,(
% 3.96/1.19 ! [X0 : array,X1 : $int,X2 : $int] : read(write(X0,X1,X2),X1) = X2),
% 3.96/1.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1)).
% 3.96/1.19
% 3.96/1.19 tff(f2,axiom,(
% 3.96/1.19 ! [X3 : array,X4 : $int,X5 : $int,X6 : $int] : (read(write(X3,X4,X6),X5) = read(X3,X5) | X4 = X5)),
% 3.96/1.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2)).
% 3.96/1.19
% 3.96/1.19 tff(f3,conjecture,(
% 3.96/1.19 ! [X0 : array,X1 : array,X2 : $int,X3 : $int] : ((write(X0,$sum(X2,2),$sum(read(X0,$sum(X2,1)),1)) = X1 & ! [X4 : $int] : (($lesseq(X4,X3) & $lesseq(X2,X4)) => $greater(read(X0,X4),0))) => ! [X5 : $int] : (($lesseq(X5,X3) & $lesseq(X2,X5)) => $greater(read(X1,X5),0)))),
% 3.96/1.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)).
% 3.96/1.19
% 3.96/1.19 tff(f4,negated_conjecture,(
% 3.96/1.19 ~! [X0 : array,X1 : array,X2 : $int,X3 : $int] : ((write(X0,$sum(X2,2),$sum(read(X0,$sum(X2,1)),1)) = X1 & ! [X4 : $int] : (($lesseq(X4,X3) & $lesseq(X2,X4)) => $greater(read(X0,X4),0))) => ! [X5 : $int] : (($lesseq(X5,X3) & $lesseq(X2,X5)) => $greater(read(X1,X5),0)))),
% 3.96/1.19 inference(negated_conjecture,[],[f3])).
% 3.96/1.19
% 3.96/1.19 tff(f5,plain,(
% 3.96/1.19 ~! [X0 : array,X1 : array,X2 : $int,X3 : $int] : ((write(X0,$sum(X2,2),$sum(read(X0,$sum(X2,1)),1)) = X1 & ! [X4 : $int] : ((~$less(X3,X4) & ~$less(X4,X2)) => $less(0,read(X0,X4)))) => ! [X5 : $int] : ((~$less(X3,X5) & ~$less(X5,X2)) => $less(0,read(X1,X5))))),
% 3.96/1.19 inference(theory_normalization,[],[f4])).
% 3.96/1.19
% 3.96/1.19 tff(f6,plain,(
% 3.96/1.19 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 3.96/1.19 introduced(theory_axiom_138,[])).
% 3.96/1.19
% 3.96/1.19 tff(f7,plain,(
% 3.96/1.19 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 3.96/1.19 introduced(theory_axiom_139,[])).
% 3.96/1.19
% 3.96/1.19 tff(f11,plain,(
% 3.96/1.19 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 3.96/1.19 introduced(theory_axiom_145,[])).
% 3.96/1.19
% 3.96/1.19 tff(f12,plain,(
% 3.96/1.19 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )),
% 3.96/1.19 introduced(theory_axiom_146,[])).
% 3.96/1.19
% 3.96/1.19 tff(f13,plain,(
% 3.96/1.19 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )),
% 3.96/1.19 introduced(theory_axiom_147,[])).
% 3.96/1.19
% 3.96/1.19 tff(f15,plain,(
% 3.96/1.19 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,$sum(X0,1))) )),
% 3.96/1.19 introduced(theory_axiom_150,[])).
% 3.96/1.19
% 3.96/1.19 tff(f17,plain,(
% 3.96/1.19 ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,$sum(X0,1))) )),
% 3.96/1.19 introduced(theory_axiom_164,[])).
% 3.96/1.19
% 3.96/1.19 tff(f18,plain,(
% 3.96/1.19 ! [X0 : array,X1 : $int,X2 : $int,X3 : $int] : (read(write(X0,X1,X3),X2) = read(X0,X2) | X1 = X2)),
% 3.96/1.19 inference(rectify,[],[f2])).
% 3.96/1.19
% 3.96/1.19 tff(f19,plain,(
% 3.96/1.19 ? [X0 : array,X1 : array,X2 : $int,X3 : $int] : (? [X5 : $int] : (~$less(0,read(X1,X5)) & (~$less(X3,X5) & ~$less(X5,X2))) & (write(X0,$sum(X2,2),$sum(read(X0,$sum(X2,1)),1)) = X1 & ! [X4 : $int] : ($less(0,read(X0,X4)) | ($less(X3,X4) | $less(X4,X2)))))),
% 3.96/1.19 inference(ennf_transformation,[],[f5])).
% 3.96/1.19
% 3.96/1.19 tff(f20,plain,(
% 3.96/1.19 ? [X0 : array,X1 : array,X2 : $int,X3 : $int] : (? [X5 : $int] : (~$less(0,read(X1,X5)) & ~$less(X3,X5) & ~$less(X5,X2)) & write(X0,$sum(X2,2),$sum(read(X0,$sum(X2,1)),1)) = X1 & ! [X4 : $int] : ($less(0,read(X0,X4)) | $less(X3,X4) | $less(X4,X2)))),
% 3.96/1.19 inference(flattening,[],[f19])).
% 3.96/1.19
% 3.96/1.19 tff(f21,plain,(
% 3.96/1.19 ? [X0 : array,X1 : array,X2 : $int,X3 : $int] : (? [X4 : $int] : (~$less(0,read(X1,X4)) & ~$less(X3,X4) & ~$less(X4,X2)) & write(X0,$sum(X2,2),$sum(read(X0,$sum(X2,1)),1)) = X1 & ! [X5 : $int] : ($less(0,read(X0,X5)) | $less(X3,X5) | $less(X5,X2)))),
% 3.96/1.19 inference(rectify,[],[f20])).
% 3.96/1.19
% 3.96/1.19 tff(f22,plain,(
% 3.96/1.19 ? [X0 : array,X1 : array,X2 : $int,X3 : $int] : (? [X4 : $int] : (~$less(0,read(X1,X4)) & ~$less(X3,X4) & ~$less(X4,X2)) & write(X0,$sum(X2,2),$sum(read(X0,$sum(X2,1)),1)) = X1 & ! [X5 : $int] : ($less(0,read(X0,X5)) | $less(X3,X5) | $less(X5,X2))) => (? [X4 : $int] : (~$less(0,read(sK1,X4)) & ~$less(sK3,X4) & ~$less(X4,sK2)) & sK1 = write(sK0,$sum(sK2,2),$sum(read(sK0,$sum(sK2,1)),1)) & ! [X5 : $int] : ($less(0,read(sK0,X5)) | $less(sK3,X5) | $less(X5,sK2)))),
% 3.96/1.19 introduced(choice_axiom,[])).
% 3.96/1.19
% 3.96/1.19 tff(f23,plain,(
% 3.96/1.19 ? [X4 : $int] : (~$less(0,read(sK1,X4)) & ~$less(sK3,X4) & ~$less(X4,sK2)) => (~$less(0,read(sK1,sK4)) & ~$less(sK3,sK4) & ~$less(sK4,sK2))),
% 3.96/1.19 introduced(choice_axiom,[])).
% 3.96/1.19
% 3.96/1.19 tff(f24,plain,(
% 3.96/1.19 (~$less(0,read(sK1,sK4)) & ~$less(sK3,sK4) & ~$less(sK4,sK2)) & sK1 = write(sK0,$sum(sK2,2),$sum(read(sK0,$sum(sK2,1)),1)) & ! [X5 : $int] : ($less(0,read(sK0,X5)) | $less(sK3,X5) | $less(X5,sK2))),
% 3.96/1.19 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f21,f23,f22])).
% 3.96/1.19
% 3.96/1.19 tff(f25,plain,(
% 3.96/1.19 ( ! [X2 : $int,X0 : array,X1 : $int] : (read(write(X0,X1,X2),X1) = X2) )),
% 3.96/1.19 inference(cnf_transformation,[],[f1])).
% 3.96/1.19
% 3.96/1.19 tff(f26,plain,(
% 3.96/1.19 ( ! [X2 : $int,X3 : $int,X0 : array,X1 : $int] : (read(write(X0,X1,X3),X2) = read(X0,X2) | X1 = X2) )),
% 3.96/1.19 inference(cnf_transformation,[],[f18])).
% 3.96/1.19
% 3.96/1.19 tff(f27,plain,(
% 3.96/1.19 ( ! [X5 : $int] : ($less(0,read(sK0,X5)) | $less(sK3,X5) | $less(X5,sK2)) )),
% 3.96/1.19 inference(cnf_transformation,[],[f24])).
% 3.96/1.19
% 3.96/1.19 tff(f28,plain,(
% 3.96/1.19 sK1 = write(sK0,$sum(sK2,2),$sum(read(sK0,$sum(sK2,1)),1))),
% 3.96/1.19 inference(cnf_transformation,[],[f24])).
% 3.96/1.19
% 3.96/1.19 tff(f29,plain,(
% 3.96/1.19 ~$less(sK4,sK2)),
% 3.96/1.19 inference(cnf_transformation,[],[f24])).
% 3.96/1.19
% 3.96/1.19 tff(f30,plain,(
% 3.96/1.19 ~$less(sK3,sK4)),
% 3.96/1.19 inference(cnf_transformation,[],[f24])).
% 3.96/1.19
% 3.96/1.19 tff(f31,plain,(
% 3.96/1.19 ~$less(0,read(sK1,sK4))),
% 3.96/1.19 inference(cnf_transformation,[],[f24])).
% 3.96/1.19
% 3.96/1.19 cnf(c_49,plain,
% 3.96/1.19 (~$less_int(X0_3,$sum_int(X1_3,1))|~$less_int(X1_3,X0_3)),
% 3.96/1.19 inference(cnf_transformation,[],[f17])).
% 3.96/1.19
% 3.96/1.19 cnf(c_51,plain,
% 3.96/1.19 ($less_int(X0_3,$sum_int(X1_3,1))|$less_int(X1_3,X0_3)),
% 3.96/1.19 inference(cnf_transformation,[],[f15])).
% 3.96/1.19
% 3.96/1.19 cnf(c_53,plain,
% 3.96/1.19 (X0_3 = X1_3|$less_int(X0_3,X1_3)|$less_int(X1_3,X0_3)),
% 3.96/1.19 inference(cnf_transformation,[],[f13])).
% 3.96/1.19
% 3.96/1.19 cnf(c_54,plain,
% 3.96/1.19 (~$less_int(X0_3,X1_3)|~$less_int(X1_3,X2_3)|$less_int(X0_3,X2_3)),
% 3.96/1.19 inference(cnf_transformation,[],[f12])).
% 3.96/1.19
% 3.96/1.19 cnf(c_55,plain,
% 3.96/1.19 (~$less_int(X0_3,X0_3)),
% 3.96/1.19 inference(cnf_transformation,[],[f11])).
% 3.96/1.19
% 3.96/1.19 cnf(c_59,plain,
% 3.96/1.19 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 3.96/1.19 inference(cnf_transformation,[],[f7])).
% 3.96/1.19
% 3.96/1.19 cnf(c_60,plain,
% 3.96/1.19 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 3.96/1.19 inference(cnf_transformation,[],[f6])).
% 3.96/1.19
% 3.96/1.19 cnf(c_61,plain,
% 3.96/1.19 (read(write(X0_13,X0_3,X1_3),X0_3) = X1_3),
% 3.96/1.19 inference(cnf_transformation,[],[f25])).
% 3.96/1.19
% 3.96/1.19 cnf(c_62,plain,
% 3.96/1.19 (read(write(X0_13,X0_3,X1_3),X2_3) = read(X0_13,X2_3)|X0_3 = X2_3),
% 3.96/1.19 inference(cnf_transformation,[],[f26])).
% 3.96/1.19
% 3.96/1.19 cnf(c_63,negated_conjecture,
% 3.96/1.19 (~$less_int(0,read(sK1,sK4))),
% 3.96/1.19 inference(cnf_transformation,[],[f31])).
% 3.96/1.19
% 3.96/1.19 cnf(c_64,negated_conjecture,
% 3.96/1.19 (~$less_int(sK3,sK4)),
% 3.96/1.19 inference(cnf_transformation,[],[f30])).
% 3.96/1.19
% 3.96/1.19 cnf(c_65,negated_conjecture,
% 3.96/1.19 (~$less_int(sK4,sK2)),
% 3.96/1.19 inference(cnf_transformation,[],[f29])).
% 3.96/1.19
% 3.96/1.19 cnf(c_66,negated_conjecture,
% 3.96/1.19 (write(sK0,$sum_int(sK2,2),$sum_int(read(sK0,$sum_int(sK2,1)),1)) = sK1),
% 3.96/1.19 inference(cnf_transformation,[],[f28])).
% 3.96/1.19
% 3.96/1.19 cnf(c_67,negated_conjecture,
% 3.96/1.19 ($less_int(0,read(sK0,X0_3))|$less_int(X0_3,sK2)|$less_int(sK3,X0_3)),
% 3.96/1.19 inference(cnf_transformation,[],[f27])).
% 3.96/1.19
% 3.96/1.19 cnf(c_82,negated_conjecture,
% 3.96/1.19 (write(sK0,$sum_int(sK2,2),$sum_int(1,read(sK0,$sum_int(sK2,1)))) = sK1),
% 3.96/1.19 inference(theory_normalisation,[status(thm)],[c_66,c_59,c_60])).
% 3.96/1.19
% 3.96/1.19 cnf(c_722,plain,
% 3.96/1.19 ($less_int(X0_3,$sum_int(X0_3,1))),
% 3.96/1.19 inference(superposition,[status(thm)],[c_51,c_55])).
% 3.96/1.19
% 3.96/1.19 cnf(c_729,plain,
% 3.96/1.19 ($less_int(X0_3,$sum_int(1,X0_3))),
% 3.96/1.19 inference(superposition,[status(thm)],[c_60,c_722])).
% 3.96/1.19
% 3.96/1.19 cnf(c_790,plain,
% 3.96/1.19 ($sum_int(1,read(sK0,$sum_int(sK2,1))) = read(sK1,$sum_int(sK2,2))),
% 3.96/1.19 inference(superposition,[status(thm)],[c_82,c_61])).
% 3.96/1.19
% 3.96/1.19 cnf(c_791,plain,
% 3.96/1.19 (write(sK0,$sum_int(sK2,2),read(sK1,$sum_int(sK2,2))) = sK1),
% 3.96/1.19 inference(demodulation,[status(thm)],[c_82,c_790])).
% 3.96/1.19
% 3.96/1.19 cnf(c_829,plain,
% 3.96/1.19 (sK3 = sK4|$less_int(sK4,sK3)),
% 3.96/1.19 inference(superposition,[status(thm)],[c_53,c_64])).
% 3.96/1.19
% 3.96/1.19 cnf(c_830,plain,
% 3.96/1.19 (sK2 = sK4|$less_int(sK2,sK4)),
% 3.96/1.19 inference(superposition,[status(thm)],[c_53,c_65])).
% 3.96/1.19
% 3.96/1.19 cnf(c_851,plain,
% 3.96/1.19 (~$less_int(read(sK0,X0_3),X1_3)|$less_int(X0_3,sK2)|$less_int(sK3,X0_3)|
% 3.96/1.19 $less_int(0,X1_3)),
% 3.96/1.19 inference(superposition,[status(thm)],[c_67,c_54])).
% 3.96/1.19
% 3.96/1.19 cnf(c_950,plain,
% 3.96/1.19 (~$less_int(sK3,X0_3)|sK3 = sK4|$less_int(sK4,X0_3)),
% 3.96/1.19 inference(superposition,[status(thm)],[c_829,c_54])).
% 3.96/1.19
% 3.96/1.19 cnf(c_1004,plain,
% 3.96/1.19 ($less_int(read(sK0,$sum_int(sK2,1)),read(sK1,$sum_int(sK2,2)))),
% 3.96/1.19 inference(superposition,[status(thm)],[c_790,c_729])).
% 3.96/1.19
% 3.96/1.19 cnf(c_1229,plain,
% 3.96/1.19 ($less_int(0,read(sK0,sK4))|$less_int(sK3,sK4)|$less_int(sK4,sK2)),
% 3.96/1.19 inference(instantiation,[status(thm)],[c_67])).
% 3.96/1.19
% 3.96/1.19 cnf(c_1288,plain,
% 3.96/1.19 (read(sK0,X0_3) = read(sK1,X0_3)|$sum_int(sK2,2) = X0_3),
% 3.96/1.19 inference(superposition,[status(thm)],[c_791,c_62])).
% 3.96/1.19
% 3.96/1.19 cnf(c_1446,plain,
% 3.96/1.19 (~$less_int(0,read(sK0,sK4))|$sum_int(sK2,2) = sK4),
% 3.96/1.19 inference(superposition,[status(thm)],[c_1288,c_63])).
% 3.96/1.19
% 3.96/1.19 cnf(c_1462,plain,
% 3.96/1.19 ($sum_int(sK2,2) = sK4),
% 3.96/1.19 inference(global_subsumption_just,
% 3.96/1.19 [status(thm)],
% 3.96/1.19 [c_1446,c_65,c_64,c_1229,c_1446])).
% 3.96/1.19
% 3.96/1.19 cnf(c_1466,plain,
% 3.96/1.19 ($less_int(read(sK0,$sum_int(sK2,1)),read(sK1,sK4))),
% 3.96/1.19 inference(demodulation,[status(thm)],[c_1004,c_1462])).
% 3.96/1.19
% 3.96/1.19 cnf(c_1481,plain,
% 3.96/1.19 ($less_int($sum_int(sK2,1),sK2)|$less_int(sK3,$sum_int(sK2,1))|$less_int(0,read(sK1,sK4))),
% 3.96/1.19 inference(superposition,[status(thm)],[c_1466,c_851])).
% 3.96/1.19
% 3.96/1.19 cnf(c_1484,plain,
% 3.96/1.19 ($less_int($sum_int(sK2,1),sK2)|$less_int(sK3,$sum_int(sK2,1))),
% 3.96/1.19 inference(forward_subsumption_resolution,[status(thm)],[c_1481,c_63])).
% 3.96/1.19
% 3.96/1.19 cnf(c_1496,plain,
% 3.96/1.19 ($less_int(sK3,$sum_int(sK2,1))),
% 3.96/1.19 inference(smt_theory_normalisation,[status(thm)],[c_1484])).
% 3.96/1.19
% 3.96/1.19 cnf(c_1498,plain,
% 3.96/1.19 (~$less_int(sK2,sK3)),
% 3.96/1.19 inference(superposition,[status(thm)],[c_1496,c_49])).
% 3.96/1.19
% 3.96/1.19 cnf(c_1531,plain,
% 3.96/1.19 (sK2 = sK3|$less_int(sK3,sK2)),
% 3.96/1.19 inference(superposition,[status(thm)],[c_53,c_1498])).
% 3.96/1.19
% 3.96/1.19 cnf(c_1847,plain,
% 3.96/1.19 (sK2 = sK3|sK3 = sK4|$less_int(sK4,sK2)),
% 3.96/1.19 inference(superposition,[status(thm)],[c_1531,c_950])).
% 3.96/1.19
% 3.96/1.19 cnf(c_1848,plain,
% 3.96/1.19 (sK2 = sK3|sK3 = sK4),
% 3.96/1.19 inference(forward_subsumption_resolution,[status(thm)],[c_1847,c_65])).
% 3.96/1.19
% 3.96/1.19 cnf(c_2016,plain,
% 3.96/1.19 (sK2 = sK3|$less_int(sK4,sK2)),
% 3.96/1.19 inference(superposition,[status(thm)],[c_1848,c_1531])).
% 3.96/1.19
% 3.96/1.19 cnf(c_2022,plain,
% 3.96/1.19 (sK2 = sK3),
% 3.96/1.19 inference(forward_subsumption_resolution,[status(thm)],[c_2016,c_65])).
% 3.96/1.19
% 3.96/1.19 cnf(c_2030,plain,
% 3.96/1.19 (~$less_int(sK2,sK4)),
% 3.96/1.19 inference(demodulation,[status(thm)],[c_64,c_2022])).
% 3.96/1.19
% 3.96/1.19 cnf(c_2031,plain,
% 3.96/1.19 (sK2 = sK4),
% 3.96/1.19 inference(backward_subsumption_resolution,[status(thm)],[c_830,c_2030])).
% 3.96/1.19
% 3.96/1.19 cnf(c_2039,plain,
% 3.96/1.19 ($sum_int(sK2,2) = sK2),
% 3.96/1.19 inference(demodulation,[status(thm)],[c_1462,c_2031])).
% 3.96/1.19
% 3.96/1.19 cnf(c_2090,plain,
% 3.96/1.19 ($false),
% 3.96/1.19 inference(smt_theory_normalisation,[status(thm)],[c_2039])).
% 3.96/1.19
% 3.96/1.19
% 3.96/1.19 % SZS output end CNFRefutation for theBenchmark.p
% 3.96/1.19
% 3.96/1.19
%------------------------------------------------------------------------------