TSTP Solution File: DAT099_1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : DAT099_1 : TPTP v8.1.2. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n018.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 22:15:39 EDT 2023
% Result : Theorem 3.24s 1.13s
% Output : CNFRefutation 3.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : DAT099_1 : TPTP v8.1.2. Released v6.1.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 14:16:28 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running TFA theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.24/1.13 % SZS status Started for theBenchmark.p
% 3.24/1.13 % SZS status Theorem for theBenchmark.p
% 3.24/1.13
% 3.24/1.13 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.24/1.13
% 3.24/1.13 ------ iProver source info
% 3.24/1.13
% 3.24/1.13 git: date: 2023-05-31 18:12:56 +0000
% 3.24/1.13 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.24/1.13 git: non_committed_changes: false
% 3.24/1.13 git: last_make_outside_of_git: false
% 3.24/1.13
% 3.24/1.13 ------ Parsing...
% 3.24/1.13 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.24/1.13
% 3.24/1.13 ------ 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
% 3.24/1.13
% 3.24/1.13 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.24/1.13
% 3.24/1.13 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.24/1.13 ------ Proving...
% 3.24/1.13 ------ Problem Properties
% 3.24/1.13
% 3.24/1.13
% 3.24/1.13 clauses 27
% 3.24/1.13 conjectures 2
% 3.24/1.13 EPR 9
% 3.24/1.13 Horn 20
% 3.24/1.13 unary 17
% 3.24/1.13 binary 3
% 3.24/1.13 lits 45
% 3.24/1.13 lits eq 17
% 3.24/1.13 fd_pure 0
% 3.24/1.13 fd_pseudo 0
% 3.24/1.13 fd_cond 3
% 3.24/1.13 fd_pseudo_cond 1
% 3.24/1.13 AC symbols 1
% 3.24/1.13
% 3.24/1.13 ------ Input Options Time Limit: Unbounded
% 3.24/1.13
% 3.24/1.13
% 3.24/1.13 ------
% 3.24/1.13 Current options:
% 3.24/1.13 ------
% 3.24/1.13
% 3.24/1.13
% 3.24/1.13
% 3.24/1.13
% 3.24/1.13 ------ Proving...
% 3.24/1.13
% 3.24/1.13
% 3.24/1.13 % SZS status Theorem for theBenchmark.p
% 3.24/1.13
% 3.24/1.13 % SZS output start CNFRefutation for theBenchmark.p
% 3.24/1.13
% 3.24/1.13 tff(f5,axiom,(
% 3.24/1.13 ! [X2 : $int,X1 : list] : (inRange(X2,X1) <=> (? [X0 : $int,X3 : list] : (inRange(X2,X3) & $less(X0,X2) & $lesseq(0,X0) & cons(X0,X3) = X1) | nil = X1))),
% 3.24/1.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inRange)).
% 3.24/1.13
% 3.24/1.13 tff(f6,conjecture,(
% 3.24/1.13 ! [X2 : $int] : ($greatereq(X2,4) => inRange(X2,cons(1,cons(3,cons(2,nil)))))),
% 3.24/1.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c)).
% 3.24/1.13
% 3.24/1.13 tff(f7,negated_conjecture,(
% 3.24/1.13 ~! [X2 : $int] : ($greatereq(X2,4) => inRange(X2,cons(1,cons(3,cons(2,nil)))))),
% 3.24/1.13 inference(negated_conjecture,[],[f6])).
% 3.24/1.13
% 3.24/1.13 tff(f8,plain,(
% 3.24/1.13 ! [X2 : $int,X1 : list] : (inRange(X2,X1) <=> (? [X0 : $int,X3 : list] : (inRange(X2,X3) & $less(X0,X2) & ~$less(X0,0) & cons(X0,X3) = X1) | nil = X1))),
% 3.24/1.13 inference(theory_normalization,[],[f5])).
% 3.24/1.13
% 3.24/1.13 tff(f9,plain,(
% 3.24/1.13 ~! [X2 : $int] : (~$less(X2,4) => inRange(X2,cons(1,cons(3,cons(2,nil)))))),
% 3.24/1.13 inference(theory_normalization,[],[f7])).
% 3.24/1.13
% 3.24/1.13 tff(f10,plain,(
% 3.24/1.13 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 3.24/1.13 introduced(theory_axiom_138,[])).
% 3.24/1.13
% 3.24/1.13 tff(f15,plain,(
% 3.24/1.13 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 3.24/1.13 introduced(theory_axiom_145,[])).
% 3.24/1.13
% 3.24/1.13 tff(f16,plain,(
% 3.24/1.13 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )),
% 3.24/1.13 introduced(theory_axiom_146,[])).
% 3.24/1.13
% 3.24/1.13 tff(f17,plain,(
% 3.24/1.13 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )),
% 3.24/1.13 introduced(theory_axiom_147,[])).
% 3.24/1.13
% 3.24/1.13 tff(f19,plain,(
% 3.24/1.13 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,$sum(X0,1))) )),
% 3.24/1.13 introduced(theory_axiom_150,[])).
% 3.24/1.13
% 3.24/1.13 tff(f21,plain,(
% 3.24/1.13 ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,$sum(X0,1))) )),
% 3.24/1.13 introduced(theory_axiom_164,[])).
% 3.24/1.13
% 3.24/1.13 tff(f23,plain,(
% 3.24/1.13 ! [X0 : $int,X1 : list] : (inRange(X0,X1) <=> (? [X2 : $int,X3 : list] : (inRange(X0,X3) & $less(X2,X0) & ~$less(X2,0) & cons(X2,X3) = X1) | nil = X1))),
% 3.24/1.13 inference(rectify,[],[f8])).
% 3.24/1.13
% 3.24/1.13 tff(f24,plain,(
% 3.24/1.13 ~! [X0 : $int] : (~$less(X0,4) => inRange(X0,cons(1,cons(3,cons(2,nil)))))),
% 3.24/1.13 inference(rectify,[],[f9])).
% 3.24/1.13
% 3.24/1.13 tff(f25,plain,(
% 3.24/1.13 ? [X0 : $int] : (~inRange(X0,cons(1,cons(3,cons(2,nil)))) & ~$less(X0,4))),
% 3.24/1.13 inference(ennf_transformation,[],[f24])).
% 3.24/1.13
% 3.24/1.13 tff(f26,plain,(
% 3.24/1.13 ! [X0 : $int,X1 : list] : ((inRange(X0,X1) | (! [X2 : $int,X3 : list] : (~inRange(X0,X3) | ~$less(X2,X0) | $less(X2,0) | cons(X2,X3) != X1) & nil != X1)) & ((? [X2 : $int,X3 : list] : (inRange(X0,X3) & $less(X2,X0) & ~$less(X2,0) & cons(X2,X3) = X1) | nil = X1) | ~inRange(X0,X1)))),
% 3.24/1.13 inference(nnf_transformation,[],[f23])).
% 3.24/1.13
% 3.24/1.13 tff(f27,plain,(
% 3.24/1.13 ! [X0 : $int,X1 : list] : ((inRange(X0,X1) | (! [X2 : $int,X3 : list] : (~inRange(X0,X3) | ~$less(X2,X0) | $less(X2,0) | cons(X2,X3) != X1) & nil != X1)) & (? [X2 : $int,X3 : list] : (inRange(X0,X3) & $less(X2,X0) & ~$less(X2,0) & cons(X2,X3) = X1) | nil = X1 | ~inRange(X0,X1)))),
% 3.24/1.13 inference(flattening,[],[f26])).
% 3.24/1.13
% 3.24/1.13 tff(f28,plain,(
% 3.24/1.13 ! [X0 : $int,X1 : list] : ((inRange(X0,X1) | (! [X2 : $int,X3 : list] : (~inRange(X0,X3) | ~$less(X2,X0) | $less(X2,0) | cons(X2,X3) != X1) & nil != X1)) & (? [X4 : $int,X5 : list] : (inRange(X0,X5) & $less(X4,X0) & ~$less(X4,0) & cons(X4,X5) = X1) | nil = X1 | ~inRange(X0,X1)))),
% 3.24/1.13 inference(rectify,[],[f27])).
% 3.24/1.13
% 3.24/1.13 tff(f29,plain,(
% 3.24/1.13 ! [X0 : $int,X1 : list] : (? [X4 : $int,X5 : list] : (inRange(X0,X5) & $less(X4,X0) & ~$less(X4,0) & cons(X4,X5) = X1) => (inRange(X0,sK1(X0,X1)) & $less(sK0(X0,X1),X0) & ~$less(sK0(X0,X1),0) & cons(sK0(X0,X1),sK1(X0,X1)) = X1))),
% 3.24/1.13 introduced(choice_axiom,[])).
% 3.24/1.13
% 3.24/1.13 tff(f30,plain,(
% 3.24/1.13 ! [X0 : $int,X1 : list] : ((inRange(X0,X1) | (! [X2 : $int,X3 : list] : (~inRange(X0,X3) | ~$less(X2,X0) | $less(X2,0) | cons(X2,X3) != X1) & nil != X1)) & ((inRange(X0,sK1(X0,X1)) & $less(sK0(X0,X1),X0) & ~$less(sK0(X0,X1),0) & cons(sK0(X0,X1),sK1(X0,X1)) = X1) | nil = X1 | ~inRange(X0,X1)))),
% 3.24/1.13 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f28,f29])).
% 3.24/1.13
% 3.24/1.13 tff(f31,plain,(
% 3.24/1.13 ? [X0 : $int] : (~inRange(X0,cons(1,cons(3,cons(2,nil)))) & ~$less(X0,4)) => (~inRange(sK2,cons(1,cons(3,cons(2,nil)))) & ~$less(sK2,4))),
% 3.24/1.13 introduced(choice_axiom,[])).
% 3.24/1.13
% 3.24/1.13 tff(f32,plain,(
% 3.24/1.13 ~inRange(sK2,cons(1,cons(3,cons(2,nil)))) & ~$less(sK2,4)),
% 3.24/1.13 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f25,f31])).
% 3.24/1.13
% 3.24/1.13 tff(f41,plain,(
% 3.24/1.13 ( ! [X0 : $int,X1 : list] : (inRange(X0,X1) | nil != X1) )),
% 3.24/1.13 inference(cnf_transformation,[],[f30])).
% 3.24/1.13
% 3.24/1.13 tff(f42,plain,(
% 3.24/1.13 ( ! [X2 : $int,X3 : list,X0 : $int,X1 : list] : (inRange(X0,X1) | ~inRange(X0,X3) | ~$less(X2,X0) | $less(X2,0) | cons(X2,X3) != X1) )),
% 3.24/1.13 inference(cnf_transformation,[],[f30])).
% 3.24/1.13
% 3.24/1.13 tff(f43,plain,(
% 3.24/1.13 ~$less(sK2,4)),
% 3.24/1.13 inference(cnf_transformation,[],[f32])).
% 3.24/1.13
% 3.24/1.13 tff(f44,plain,(
% 3.24/1.13 ~inRange(sK2,cons(1,cons(3,cons(2,nil))))),
% 3.24/1.13 inference(cnf_transformation,[],[f32])).
% 3.24/1.13
% 3.24/1.13 tff(f45,plain,(
% 3.24/1.13 ( ! [X2 : $int,X3 : list,X0 : $int] : (inRange(X0,cons(X2,X3)) | ~inRange(X0,X3) | ~$less(X2,X0) | $less(X2,0)) )),
% 3.24/1.13 inference(equality_resolution,[],[f42])).
% 3.24/1.13
% 3.24/1.13 tff(f46,plain,(
% 3.24/1.13 ( ! [X0 : $int] : (inRange(X0,nil)) )),
% 3.24/1.13 inference(equality_resolution,[],[f41])).
% 3.24/1.13
% 3.24/1.13 cnf(c_49,plain,
% 3.24/1.13 (~$less_int(X0_3,$sum_int(X1_3,1))|~$less_int(X1_3,X0_3)),
% 3.24/1.13 inference(cnf_transformation,[],[f21])).
% 3.24/1.13
% 3.24/1.13 cnf(c_51,plain,
% 3.24/1.13 ($less_int(X0_3,$sum_int(X1_3,1))|$less_int(X1_3,X0_3)),
% 3.24/1.13 inference(cnf_transformation,[],[f19])).
% 3.24/1.13
% 3.24/1.13 cnf(c_53,plain,
% 3.24/1.13 (X0_3 = X1_3|$less_int(X0_3,X1_3)|$less_int(X1_3,X0_3)),
% 3.24/1.13 inference(cnf_transformation,[],[f17])).
% 3.24/1.13
% 3.24/1.13 cnf(c_54,plain,
% 3.24/1.13 (~$less_int(X0_3,X1_3)|~$less_int(X1_3,X2_3)|$less_int(X0_3,X2_3)),
% 3.24/1.13 inference(cnf_transformation,[],[f16])).
% 3.24/1.13
% 3.24/1.13 cnf(c_55,plain,
% 3.24/1.13 (~$less_int(X0_3,X0_3)),
% 3.24/1.13 inference(cnf_transformation,[],[f15])).
% 3.24/1.13
% 3.24/1.13 cnf(c_60,plain,
% 3.24/1.13 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 3.24/1.13 inference(cnf_transformation,[],[f10])).
% 3.24/1.13
% 3.24/1.13 cnf(c_65,plain,
% 3.24/1.13 (~$less_int(X0_3,X1_3)|~inRange(X1_3,X0_13)|inRange(X1_3,cons(X0_3,X0_13))|
% 3.24/1.13 $less_int(X0_3,0)),
% 3.24/1.13 inference(cnf_transformation,[],[f45])).
% 3.24/1.13
% 3.24/1.13 cnf(c_66,plain,(inRange(X0_3,nil)),inference(cnf_transformation,[],[f46])).
% 3.24/1.13
% 3.24/1.13 cnf(c_71,negated_conjecture,
% 3.24/1.13 (~inRange(sK2,cons(1,cons(3,cons(2,nil))))),
% 3.24/1.13 inference(cnf_transformation,[],[f44])).
% 3.24/1.13
% 3.24/1.13 cnf(c_72,negated_conjecture,
% 3.24/1.13 (~$less_int(sK2,4)),
% 3.24/1.13 inference(cnf_transformation,[],[f43])).
% 3.24/1.13
% 3.24/1.13 cnf(c_73,plain,($less_int(0,1)),theory(arith)).
% 3.24/1.13
% 3.24/1.13 cnf(c_74,plain,($less_int(1,2)),theory(arith)).
% 3.24/1.13
% 3.24/1.13 cnf(c_75,plain,($less_int(2,3)),theory(arith)).
% 3.24/1.13
% 3.24/1.13 cnf(c_76,plain,($less_int(3,4)),theory(arith)).
% 3.24/1.13
% 3.24/1.13 cnf(c_78,plain,
% 3.24/1.13 (~$less_int(0,0)),
% 3.24/1.13 inference(instantiation,[status(thm)],[c_55])).
% 3.24/1.13
% 3.24/1.13 cnf(c_980,plain,
% 3.24/1.13 ($less_int(X0_3,$sum_int(X0_3,1))),
% 3.24/1.13 inference(superposition,[status(thm)],[c_51,c_55])).
% 3.24/1.13
% 3.24/1.13 cnf(c_987,plain,
% 3.24/1.13 ($less_int(X0_3,$sum_int(1,X0_3))),
% 3.24/1.13 inference(superposition,[status(thm)],[c_60,c_980])).
% 3.24/1.13
% 3.24/1.13 cnf(c_1075,plain,
% 3.24/1.13 (sK2 = 4|$less_int(4,sK2)),
% 3.24/1.13 inference(superposition,[status(thm)],[c_53,c_72])).
% 3.24/1.14
% 3.24/1.14 cnf(c_1093,plain,
% 3.24/1.14 (~$less_int(1,X0_3)|$less_int(0,X0_3)),
% 3.24/1.14 inference(superposition,[status(thm)],[c_73,c_54])).
% 3.24/1.14
% 3.24/1.14 cnf(c_1094,plain,
% 3.24/1.14 (~$less_int(2,X0_3)|$less_int(1,X0_3)),
% 3.24/1.14 inference(superposition,[status(thm)],[c_74,c_54])).
% 3.24/1.14
% 3.24/1.14 cnf(c_1095,plain,
% 3.24/1.14 (~$less_int(3,X0_3)|$less_int(2,X0_3)),
% 3.24/1.14 inference(superposition,[status(thm)],[c_75,c_54])).
% 3.24/1.14
% 3.24/1.14 cnf(c_1145,plain,
% 3.24/1.14 (~$less_int(2,0)|$less_int(1,0)),
% 3.24/1.14 inference(instantiation,[status(thm)],[c_1094])).
% 3.24/1.14
% 3.24/1.14 cnf(c_1146,plain,
% 3.24/1.14 (~$less_int(1,0)|$less_int(0,0)),
% 3.24/1.14 inference(instantiation,[status(thm)],[c_1093])).
% 3.24/1.14
% 3.24/1.14 cnf(c_1172,plain,
% 3.24/1.14 (~$less_int(sK2,X0_3)|sK2 = 4|$less_int(4,X0_3)),
% 3.24/1.14 inference(superposition,[status(thm)],[c_1075,c_54])).
% 3.24/1.14
% 3.24/1.14 cnf(c_1186,plain,
% 3.24/1.14 ($less_int(0,$sum_int(1,1))),
% 3.24/1.14 inference(superposition,[status(thm)],[c_980,c_1093])).
% 3.24/1.14
% 3.24/1.14 cnf(c_1209,plain,
% 3.24/1.14 (sK2 = 4|$less_int(4,$sum_int(X0_3,1))|$less_int(X0_3,sK2)),
% 3.24/1.14 inference(superposition,[status(thm)],[c_51,c_1172])).
% 3.24/1.14
% 3.24/1.14 cnf(c_1213,plain,
% 3.24/1.14 (sK2 = 4|$less_int(4,$sum_int(1,sK2))),
% 3.24/1.14 inference(superposition,[status(thm)],[c_987,c_1172])).
% 3.24/1.14
% 3.24/1.14 cnf(c_1242,plain,
% 3.24/1.14 (sK2 = 4|$less_int(3,sK2)),
% 3.24/1.14 inference(smt_theory_normalisation,[status(thm)],[c_1213])).
% 3.24/1.14
% 3.24/1.14 cnf(c_1276,plain,
% 3.24/1.14 (sK2 = 4|$less_int(X0_3,sK2)|$less_int(3,X0_3)),
% 3.24/1.14 inference(smt_theory_normalisation,[status(thm)],[c_1209])).
% 3.24/1.14
% 3.24/1.14 cnf(c_1308,plain,
% 3.24/1.14 (~$less_int(X0_3,2)|~$less_int(2,3)|$less_int(X0_3,3)),
% 3.24/1.14 inference(instantiation,[status(thm)],[c_54])).
% 3.24/1.14
% 3.24/1.14 cnf(c_1558,plain,
% 3.24/1.14 (~$less_int(1,0)),
% 3.24/1.14 inference(superposition,[status(thm)],[c_1186,c_49])).
% 3.24/1.14
% 3.24/1.14 cnf(c_1597,plain,
% 3.24/1.14 (sK2 = 4|$less_int(1,sK2)|$less_int(3,2)),
% 3.24/1.14 inference(superposition,[status(thm)],[c_1276,c_1094])).
% 3.24/1.14
% 3.24/1.14 cnf(c_1619,plain,
% 3.24/1.14 (~$less_int(3,2)|~$less_int(2,3)|$less_int(3,3)),
% 3.24/1.14 inference(instantiation,[status(thm)],[c_1308])).
% 3.24/1.14
% 3.24/1.14 cnf(c_1620,plain,
% 3.24/1.14 (~$less_int(3,3)),
% 3.24/1.14 inference(instantiation,[status(thm)],[c_55])).
% 3.24/1.14
% 3.24/1.14 cnf(c_1908,plain,
% 3.24/1.14 (~inRange(sK2,cons(3,cons(2,nil)))|~$less_int(1,sK2)|$less_int(1,0)),
% 3.24/1.14 inference(superposition,[status(thm)],[c_65,c_71])).
% 3.24/1.14
% 3.24/1.14 cnf(c_1909,plain,
% 3.24/1.14 (~inRange(sK2,cons(3,cons(2,nil)))|~$less_int(1,sK2)),
% 3.24/1.14 inference(forward_subsumption_resolution,[status(thm)],[c_1908,c_1558])).
% 3.24/1.14
% 3.24/1.14 cnf(c_1947,plain,
% 3.24/1.14 ($less_int(2,4)),
% 3.24/1.14 inference(superposition,[status(thm)],[c_76,c_1095])).
% 3.24/1.14
% 3.24/1.14 cnf(c_1955,plain,
% 3.24/1.14 (sK2 = 4|$less_int(2,sK2)),
% 3.24/1.14 inference(superposition,[status(thm)],[c_1242,c_1095])).
% 3.24/1.14
% 3.24/1.14 cnf(c_2008,plain,
% 3.24/1.14 ($less_int(1,4)),
% 3.24/1.14 inference(superposition,[status(thm)],[c_1947,c_1094])).
% 3.24/1.14
% 3.24/1.14 cnf(c_2084,plain,
% 3.24/1.14 (~inRange(sK2,cons(2,nil))|~$less_int(1,sK2)|~$less_int(3,sK2)|$less_int(3,0)),
% 3.24/1.14 inference(superposition,[status(thm)],[c_65,c_1909])).
% 3.24/1.14
% 3.24/1.14 cnf(c_2089,plain,
% 3.24/1.14 (~inRange(sK2,cons(2,nil))|~$less_int(1,sK2)|~$less_int(3,sK2)),
% 3.24/1.14 inference(smt_theory_normalisation,[status(thm)],[c_2084])).
% 3.24/1.14
% 3.24/1.14 cnf(c_2096,plain,
% 3.24/1.14 (~$less_int(1,sK2)|~$less_int(3,sK2)|~$less_int(2,sK2)|~inRange(sK2,nil)|
% 3.24/1.14 $less_int(2,0)),
% 3.24/1.14 inference(superposition,[status(thm)],[c_65,c_2089])).
% 3.24/1.14
% 3.24/1.14 cnf(c_2097,plain,
% 3.24/1.14 (~$less_int(1,sK2)|~$less_int(3,sK2)|~$less_int(2,sK2)|$less_int(2,0)),
% 3.24/1.14 inference(forward_subsumption_resolution,[status(thm)],[c_2096,c_66])).
% 3.24/1.14
% 3.24/1.14 cnf(c_2102,plain,
% 3.24/1.14 (sK2 = 4),
% 3.24/1.14 inference(global_subsumption_just,
% 3.24/1.14 [status(thm)],
% 3.24/1.14 [c_1955,c_75,c_78,c_1145,c_1146,c_1242,c_1597,c_1619,c_1620,
% 3.24/1.14 c_1955,c_2097])).
% 3.24/1.14
% 3.24/1.14 cnf(c_2105,plain,
% 3.24/1.14 ($less_int(1,sK2)),
% 3.24/1.14 inference(demodulation,[status(thm)],[c_2008,c_2102])).
% 3.24/1.14
% 3.24/1.14 cnf(c_2106,plain,
% 3.24/1.14 ($less_int(2,sK2)),
% 3.24/1.14 inference(demodulation,[status(thm)],[c_1947,c_2102])).
% 3.24/1.14
% 3.24/1.14 cnf(c_2116,plain,
% 3.24/1.14 ($less_int(3,sK2)),
% 3.24/1.14 inference(demodulation,[status(thm)],[c_76,c_2102])).
% 3.24/1.14
% 3.24/1.14 cnf(c_2121,plain,
% 3.24/1.14 ($false),
% 3.24/1.14 inference(prop_impl_just,
% 3.24/1.14 [status(thm)],
% 3.24/1.14 [c_2105,c_2106,c_2116,c_2097,c_1146,c_1145,c_78])).
% 3.24/1.14
% 3.24/1.14
% 3.24/1.14 % SZS output end CNFRefutation for theBenchmark.p
% 3.24/1.14
% 3.24/1.14
%------------------------------------------------------------------------------