TSTP Solution File: DAT032_1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : DAT032_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n015.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 22:15:25 EDT 2023
% Result : Theorem 251.86s 33.20s
% Output : CNFRefutation 251.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : DAT032_1 : TPTP v8.1.2. Released v5.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n015.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 14:51:21 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.45 Running TFA theorem proving
% 0.20/0.45 Running: /export/starexec/sandbox/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 251.86/33.20 % SZS status Started for theBenchmark.p
% 251.86/33.20 % SZS status Theorem for theBenchmark.p
% 251.86/33.20
% 251.86/33.20 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 251.86/33.20
% 251.86/33.20 ------ iProver source info
% 251.86/33.20
% 251.86/33.20 git: date: 2023-05-31 18:12:56 +0000
% 251.86/33.20 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 251.86/33.20 git: non_committed_changes: false
% 251.86/33.20 git: last_make_outside_of_git: false
% 251.86/33.20
% 251.86/33.20 ------ Parsing...
% 251.86/33.20 ------ Clausification by vclausify_rel & Parsing by iProver...
% 251.86/33.20
% 251.86/33.20 ------ Preprocessing... sup_sim: 3 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
% 251.86/33.20
% 251.86/33.20 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 251.86/33.20
% 251.86/33.20 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 251.86/33.20 ------ Proving...
% 251.86/33.20 ------ Problem Properties
% 251.86/33.20
% 251.86/33.20
% 251.86/33.20 clauses 37
% 251.86/33.20 conjectures 14
% 251.86/33.20 EPR 9
% 251.86/33.20 Horn 31
% 251.86/33.20 unary 19
% 251.86/33.20 binary 14
% 251.86/33.20 lits 59
% 251.86/33.20 lits eq 21
% 251.86/33.20 fd_pure 0
% 251.86/33.20 fd_pseudo 0
% 251.86/33.20 fd_cond 1
% 251.86/33.20 fd_pseudo_cond 3
% 251.86/33.20 AC symbols 1
% 251.86/33.20
% 251.86/33.20 ------ Input Options Time Limit: Unbounded
% 251.86/33.20
% 251.86/33.20
% 251.86/33.20 ------
% 251.86/33.20 Current options:
% 251.86/33.20 ------
% 251.86/33.20
% 251.86/33.20
% 251.86/33.20
% 251.86/33.20
% 251.86/33.20 ------ Proving...
% 251.86/33.20
% 251.86/33.20
% 251.86/33.20 % SZS status Theorem for theBenchmark.p
% 251.86/33.20
% 251.86/33.20 % SZS output start CNFRefutation for theBenchmark.p
% 251.86/33.20
% 251.86/33.20 tff(f10,axiom,(
% 251.86/33.20 ! [X17 : $int,X18 : collection] : (in(X17,X18) <=> count(remove(X17,X18)) = $difference(count(X18),1))),
% 251.86/33.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5)).
% 251.86/33.20
% 251.86/33.20 tff(f11,axiom,(
% 251.86/33.20 ! [X19 : $int,X20 : collection] : (~in(X19,X20) <=> count(remove(X19,X20)) = count(X20))),
% 251.86/33.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6)).
% 251.86/33.20
% 251.86/33.20 tff(f13,conjecture,(
% 251.86/33.20 ! [X0 : collection] : ($greatereq(count(remove(5,X0)),7) => $greatereq(count(remove(4,X0)),6))),
% 251.86/33.20 file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)).
% 251.86/33.20
% 251.86/33.20 tff(f14,negated_conjecture,(
% 251.86/33.20 ~! [X0 : collection] : ($greatereq(count(remove(5,X0)),7) => $greatereq(count(remove(4,X0)),6))),
% 251.86/33.20 inference(negated_conjecture,[],[f13])).
% 251.86/33.20
% 251.86/33.20 tff(f16,plain,(
% 251.86/33.20 ! [X17 : $int,X18 : collection] : (in(X17,X18) <=> count(remove(X17,X18)) = $sum(count(X18),$uminus(1)))),
% 251.86/33.20 inference(theory_normalization,[],[f10])).
% 251.86/33.20
% 251.86/33.20 tff(f17,plain,(
% 251.86/33.20 ~! [X0 : collection] : (~$less(count(remove(5,X0)),7) => ~$less(count(remove(4,X0)),6))),
% 251.86/33.20 inference(theory_normalization,[],[f14])).
% 251.86/33.20
% 251.86/33.20 tff(f18,plain,(
% 251.86/33.20 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 251.86/33.20 introduced(theory_axiom_138,[])).
% 251.86/33.20
% 251.86/33.20 tff(f19,plain,(
% 251.86/33.20 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 251.86/33.20 introduced(theory_axiom_139,[])).
% 251.86/33.20
% 251.86/33.20 tff(f20,plain,(
% 251.86/33.20 ( ! [X0 : $int] : ($sum(X0,0) = X0) )),
% 251.86/33.20 introduced(theory_axiom_140,[])).
% 251.86/33.20
% 251.86/33.20 tff(f22,plain,(
% 251.86/33.20 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 251.86/33.20 introduced(theory_axiom_143,[])).
% 251.86/33.20
% 251.86/33.20 tff(f24,plain,(
% 251.86/33.20 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )),
% 251.86/33.20 introduced(theory_axiom_146,[])).
% 251.86/33.20
% 251.86/33.20 tff(f25,plain,(
% 251.86/33.20 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )),
% 251.86/33.20 introduced(theory_axiom_147,[])).
% 251.86/33.20
% 251.86/33.20 tff(f27,plain,(
% 251.86/33.20 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,$sum(X0,1))) )),
% 251.86/33.20 introduced(theory_axiom_150,[])).
% 251.86/33.20
% 251.86/33.20 tff(f29,plain,(
% 251.86/33.20 ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,$sum(X0,1))) )),
% 251.86/33.20 introduced(theory_axiom_164,[])).
% 251.86/33.20
% 251.86/33.20 tff(f38,plain,(
% 251.86/33.20 ! [X0 : $int,X1 : collection] : (in(X0,X1) <=> count(remove(X0,X1)) = $sum(count(X1),$uminus(1)))),
% 251.86/33.20 inference(rectify,[],[f16])).
% 251.86/33.20
% 251.86/33.20 tff(f39,plain,(
% 251.86/33.20 ! [X0 : $int,X1 : collection] : (~in(X0,X1) <=> count(X1) = count(remove(X0,X1)))),
% 251.86/33.20 inference(rectify,[],[f11])).
% 251.86/33.20
% 251.86/33.20 tff(f42,plain,(
% 251.86/33.20 ? [X0 : collection] : ($less(count(remove(4,X0)),6) & ~$less(count(remove(5,X0)),7))),
% 251.86/33.20 inference(ennf_transformation,[],[f17])).
% 251.86/33.20
% 251.86/33.20 tff(f50,plain,(
% 251.86/33.20 ! [X0 : $int,X1 : collection] : ((in(X0,X1) | count(remove(X0,X1)) != $sum(count(X1),$uminus(1))) & (count(remove(X0,X1)) = $sum(count(X1),$uminus(1)) | ~in(X0,X1)))),
% 251.86/33.20 inference(nnf_transformation,[],[f38])).
% 251.86/33.20
% 251.86/33.20 tff(f51,plain,(
% 251.86/33.20 ! [X0 : $int,X1 : collection] : ((~in(X0,X1) | count(X1) != count(remove(X0,X1))) & (count(X1) = count(remove(X0,X1)) | in(X0,X1)))),
% 251.86/33.20 inference(nnf_transformation,[],[f39])).
% 251.86/33.20
% 251.86/33.20 tff(f52,plain,(
% 251.86/33.20 ? [X0 : collection] : ($less(count(remove(4,X0)),6) & ~$less(count(remove(5,X0)),7)) => ($less(count(remove(4,sK0)),6) & ~$less(count(remove(5,sK0)),7))),
% 251.86/33.20 introduced(choice_axiom,[])).
% 251.86/33.20
% 251.86/33.20 tff(f53,plain,(
% 251.86/33.20 $less(count(remove(4,sK0)),6) & ~$less(count(remove(5,sK0)),7)),
% 251.86/33.20 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f42,f52])).
% 251.86/33.20
% 251.86/33.20 tff(f70,plain,(
% 251.86/33.20 ( ! [X0 : $int,X1 : collection] : (count(remove(X0,X1)) = $sum(count(X1),$uminus(1)) | ~in(X0,X1)) )),
% 251.86/33.20 inference(cnf_transformation,[],[f50])).
% 251.86/33.20
% 251.86/33.20 tff(f72,plain,(
% 251.86/33.20 ( ! [X0 : $int,X1 : collection] : (count(X1) = count(remove(X0,X1)) | in(X0,X1)) )),
% 251.86/33.20 inference(cnf_transformation,[],[f51])).
% 251.86/33.20
% 251.86/33.20 tff(f75,plain,(
% 251.86/33.20 ~$less(count(remove(5,sK0)),7)),
% 251.86/33.20 inference(cnf_transformation,[],[f53])).
% 251.86/33.20
% 251.86/33.20 tff(f76,plain,(
% 251.86/33.20 $less(count(remove(4,sK0)),6)),
% 251.86/33.20 inference(cnf_transformation,[],[f53])).
% 251.86/33.20
% 251.86/33.20 cnf(c_49,plain,
% 251.86/33.20 (~$less_int(X0_3,$sum_int(X1_3,1))|~$less_int(X1_3,X0_3)),
% 251.86/33.20 inference(cnf_transformation,[],[f29])).
% 251.86/33.20
% 251.86/33.20 cnf(c_51,negated_conjecture,
% 251.86/33.20 ($less_int(X0_3,$sum_int(X1_3,1))|$less_int(X1_3,X0_3)),
% 251.86/33.20 inference(cnf_transformation,[],[f27])).
% 251.86/33.20
% 251.86/33.20 cnf(c_53,negated_conjecture,
% 251.86/33.20 (X0_3 = X1_3|$less_int(X0_3,X1_3)|$less_int(X1_3,X0_3)),
% 251.86/33.20 inference(cnf_transformation,[],[f25])).
% 251.86/33.20
% 251.86/33.20 cnf(c_54,plain,
% 251.86/33.20 (~$less_int(X0_3,X1_3)|~$less_int(X1_3,X2_3)|$less_int(X0_3,X2_3)),
% 251.86/33.20 inference(cnf_transformation,[],[f24])).
% 251.86/33.20
% 251.86/33.20 cnf(c_56,negated_conjecture,
% 251.86/33.20 ($sum_int(X0_3,$uminus_int(X0_3)) = 0),
% 251.86/33.20 inference(cnf_transformation,[],[f22])).
% 251.86/33.20
% 251.86/33.20 cnf(c_58,negated_conjecture,
% 251.86/33.20 ($sum_int(X0_3,0) = X0_3),
% 251.86/33.20 inference(cnf_transformation,[],[f20])).
% 251.86/33.20
% 251.86/33.20 cnf(c_59,negated_conjecture,
% 251.86/33.20 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 251.86/33.20 inference(cnf_transformation,[],[f19])).
% 251.86/33.20
% 251.86/33.20 cnf(c_60,negated_conjecture,
% 251.86/33.20 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 251.86/33.20 inference(cnf_transformation,[],[f18])).
% 251.86/33.20
% 251.86/33.20 cnf(c_78,plain,
% 251.86/33.20 (~in(X0_3,X0_13)|$sum_int(count(X0_13),$uminus_int(1)) = count(remove(X0_3,X0_13))),
% 251.86/33.20 inference(cnf_transformation,[],[f70])).
% 251.86/33.20
% 251.86/33.20 cnf(c_80,negated_conjecture,
% 251.86/33.20 (count(remove(X0_3,X0_13)) = count(X0_13)|in(X0_3,X0_13)),
% 251.86/33.20 inference(cnf_transformation,[],[f72])).
% 251.86/33.20
% 251.86/33.20 cnf(c_82,negated_conjecture,
% 251.86/33.20 ($less_int(count(remove(4,sK0)),6)),
% 251.86/33.20 inference(cnf_transformation,[],[f76])).
% 251.86/33.20
% 251.86/33.20 cnf(c_83,negated_conjecture,
% 251.86/33.20 (~$less_int(count(remove(5,sK0)),7)),
% 251.86/33.20 inference(cnf_transformation,[],[f75])).
% 251.86/33.20
% 251.86/33.20 cnf(c_88,plain,($less_int(6,7)),theory(arith)).
% 251.86/33.20
% 251.86/33.20 cnf(c_122,plain,
% 251.86/33.20 (~in(X0_3,X0_13)|$sum_int(count(X0_13),$uminus_int(1)) = count(remove(X0_3,X0_13))),
% 251.86/33.20 inference(prop_impl_just,[status(thm)],[c_78])).
% 251.86/33.20
% 251.86/33.20 cnf(c_393,plain,
% 251.86/33.20 (~in(X0_3,X0_13)|$sum_int(1,count(remove(X0_3,X0_13))) = count(X0_13)),
% 251.86/33.20 inference(smt_theory_normalisation,[status(thm)],[c_122])).
% 251.86/33.20
% 251.86/33.20 cnf(c_438,plain,
% 251.86/33.20 (~in(X0_3,X0_13)|$sum_int(1,count(remove(X0_3,X0_13))) = count(X0_13)),
% 251.86/33.20 inference(prop_impl_just,[status(thm)],[c_393])).
% 251.86/33.20
% 251.86/33.20 cnf(c_720,plain,(X0_3 = X0_3),theory(equality)).
% 251.86/33.20
% 251.86/33.20 cnf(c_726,plain,
% 251.86/33.20 (X0_3 != X1_3|X2_3 != X3_3|~$less_int(X1_3,X3_3)|$less_int(X0_3,X2_3)),
% 251.86/33.20 theory(equality)).
% 251.86/33.20
% 251.86/33.20 cnf(c_1330,plain,
% 251.86/33.20 (count(remove(5,sK0)) != X0_3|7 != X1_3|~$less_int(X0_3,X1_3)|$less_int(count(remove(5,sK0)),7)),
% 251.86/33.20 inference(instantiation,[status(thm)],[c_726])).
% 251.86/33.20
% 251.86/33.20 cnf(c_1337,plain,
% 251.86/33.20 (X0_3 != X1_3|7 != X2_3|~$less_int(X1_3,X2_3)|$less_int(X0_3,7)),
% 251.86/33.20 inference(instantiation,[status(thm)],[c_726])).
% 251.86/33.20
% 251.86/33.20 cnf(c_1338,plain,
% 251.86/33.20 (~$less_int(X0_3,X1_3)|~$less_int(X1_3,7)|$less_int(X0_3,7)),
% 251.86/33.20 inference(instantiation,[status(thm)],[c_54])).
% 251.86/33.20
% 251.86/33.20 cnf(c_1596,plain,
% 251.86/33.20 (count(remove(5,sK0)) != X0_3|7 != 7|~$less_int(X0_3,7)|$less_int(count(remove(5,sK0)),7)),
% 251.86/33.20 inference(instantiation,[status(thm)],[c_1330])).
% 251.86/33.20
% 251.86/33.20 cnf(c_1613,plain,
% 251.86/33.20 (~$less_int(X0_3,6)|~$less_int(6,7)|$less_int(X0_3,7)),
% 251.86/33.20 inference(instantiation,[status(thm)],[c_1338])).
% 251.86/33.20
% 251.86/33.20 cnf(c_4580,plain,
% 251.86/33.20 (X0_3 != X1_3|7 != 7|~$less_int(X1_3,7)|$less_int(X0_3,7)),
% 251.86/33.20 inference(instantiation,[status(thm)],[c_1337])).
% 251.86/33.20
% 251.86/33.20 cnf(c_4639,plain,(7 = 7),inference(instantiation,[status(thm)],[c_720])).
% 251.86/33.20
% 251.86/33.20 cnf(c_4986,plain,
% 251.86/33.20 (X0_3 = 6|$less_int(X0_3,6)|$less_int(6,X0_3)),
% 251.86/33.20 inference(instantiation,[status(thm)],[c_53])).
% 251.86/33.20
% 251.86/33.20 cnf(c_5417,plain,
% 251.86/33.20 (count(remove(5,sK0)) != count(sK0)|7 != 7|~$less_int(count(sK0),7)|
% 251.86/33.20 $less_int(count(remove(5,sK0)),7)),
% 251.86/33.20 inference(instantiation,[status(thm)],[c_1596])).
% 251.86/33.20
% 251.86/33.20 cnf(c_34781,plain,
% 251.86/33.20 (count(sK0) != X0_3|7 != 7|~$less_int(X0_3,7)|$less_int(count(sK0),7)),
% 251.86/33.20 inference(instantiation,[status(thm)],[c_4580])).
% 251.86/33.20
% 251.86/33.20 cnf(c_34782,plain,
% 251.86/33.20 (~$less_int(count(sK0),6)|~$less_int(6,7)|$less_int(count(sK0),7)),
% 251.86/33.20 inference(instantiation,[status(thm)],[c_1613])).
% 251.86/33.20
% 251.86/33.20 cnf(c_66692,plain,
% 251.86/33.20 (count(sK0) = 6|$less_int(count(sK0),6)|$less_int(6,count(sK0))),
% 251.86/33.20 inference(instantiation,[status(thm)],[c_4986])).
% 251.86/33.20
% 251.86/33.20 cnf(c_142140,plain,
% 251.86/33.20 ($sum_int(0,X0_3) = X0_3),
% 251.86/33.20 inference(superposition,[status(thm)],[c_58,c_60])).
% 251.86/33.20
% 251.86/33.20 cnf(c_142144,plain,
% 251.86/33.20 ($less_int(X0_3,$sum_int(1,X1_3))|$less_int(X1_3,X0_3)),
% 251.86/33.20 inference(superposition,[status(thm)],[c_60,c_51])).
% 251.86/33.20
% 251.86/33.20 cnf(c_142164,plain,
% 251.86/33.20 (~$less_int(X0_3,$sum_int(1,X1_3))|~$less_int(X1_3,X0_3)),
% 251.86/33.20 inference(superposition,[status(thm)],[c_60,c_49])).
% 251.86/33.20
% 251.86/33.20 cnf(c_142179,plain,
% 251.86/33.20 (~$less_int(6,X0_3)|$less_int(count(remove(4,sK0)),X0_3)),
% 251.86/33.20 inference(superposition,[status(thm)],[c_82,c_54])).
% 251.86/33.20
% 251.86/33.20 cnf(c_142199,plain,
% 251.86/33.20 ($sum_int(X0_3,$sum_int($uminus_int(X0_3),X1_3)) = $sum_int(0,X1_3)),
% 251.86/33.20 inference(superposition,[status(thm)],[c_56,c_59])).
% 251.86/33.20
% 251.86/33.20 cnf(c_142224,plain,
% 251.86/33.20 ($sum_int(1,count(remove(X0_3,X0_13))) = count(X0_13)|count(remove(X0_3,X0_13)) = count(X0_13)),
% 251.86/33.20 inference(superposition,[status(thm)],[c_80,c_438])).
% 251.86/33.20
% 251.86/33.20 cnf(c_142245,plain,
% 251.86/33.20 ($sum_int(X0_3,$sum_int($uminus_int(X0_3),X1_3)) = X1_3),
% 251.86/33.20 inference(demodulation,[status(thm)],[c_142199,c_142140])).
% 251.86/33.20
% 251.86/33.20 cnf(c_142467,plain,
% 251.86/33.20 ($less_int($sum_int($uminus_int(1),X0_3),X1_3)|$less_int(X1_3,X0_3)),
% 251.86/33.20 inference(superposition,[status(thm)],[c_142245,c_142144])).
% 251.86/33.20
% 251.86/33.20 cnf(c_142625,plain,
% 251.86/33.20 ($less_int(count(remove(4,sK0)),7)),
% 251.86/33.20 inference(superposition,[status(thm)],[c_88,c_142179])).
% 251.86/33.20
% 251.86/33.20 cnf(c_143232,plain,
% 251.86/33.20 (~$less_int(count(remove(X0_3,X0_13)),X1_3)|~$less_int(X1_3,count(X0_13))|
% 251.86/33.20 count(remove(X0_3,X0_13)) = count(X0_13)),
% 251.86/33.20 inference(superposition,[status(thm)],[c_142224,c_142164])).
% 251.86/33.20
% 251.86/33.20 cnf(c_143233,plain,
% 251.86/33.20 (count(remove(X0_3,X0_13)) = count(X0_13)|$less_int(count(remove(X0_3,X0_13)),X1_3)|
% 251.86/33.20 $less_int(X1_3,count(X0_13))),
% 251.86/33.20 inference(superposition,[status(thm)],[c_142224,c_142144])).
% 251.86/33.20
% 251.86/33.20 cnf(c_146693,plain,
% 251.86/33.20 ($less_int($sum_int(-1,X0_3),X1_3)|$less_int(X1_3,X0_3)),
% 251.86/33.20 inference(smt_theory_normalisation,[status(thm)],[c_142467])).
% 251.86/33.20
% 251.86/33.20 cnf(c_146720,plain,
% 251.86/33.20 ($less_int($sum_int(-1,7),count(remove(5,sK0)))),
% 251.86/33.20 inference(superposition,[status(thm)],[c_146693,c_83])).
% 251.86/33.20
% 251.86/33.20 cnf(c_241193,plain,
% 251.86/33.20 (count(remove(5,sK0)) = count(sK0)|$less_int(7,count(sK0))),
% 251.86/33.20 inference(superposition,[status(thm)],[c_143233,c_83])).
% 251.86/33.20
% 251.86/33.20 cnf(c_287495,plain,
% 251.86/33.20 (count(sK0) != 6|7 != 7|~$less_int(6,7)|$less_int(count(sK0),7)),
% 251.86/33.20 inference(instantiation,[status(thm)],[c_34781])).
% 251.86/33.20
% 251.86/33.20 cnf(c_290712,plain,
% 251.86/33.20 (~$less_int(6,count(sK0))|count(remove(4,sK0)) = count(sK0)),
% 251.86/33.20 inference(superposition,[status(thm)],[c_82,c_143232])).
% 251.86/33.20
% 251.86/33.20 cnf(c_290746,plain,
% 251.86/33.20 (~$less_int(7,count(sK0))|count(remove(4,sK0)) = count(sK0)),
% 251.86/33.20 inference(superposition,[status(thm)],[c_142625,c_143232])).
% 251.86/33.20
% 251.86/33.20 cnf(c_300102,plain,
% 251.86/33.20 (count(remove(4,sK0)) = count(sK0)),
% 251.86/33.20 inference(global_subsumption_just,
% 251.86/33.20 [status(thm)],
% 251.86/33.20 [c_290712,c_88,c_83,c_4639,c_5417,c_34782,c_66692,c_241193,
% 251.86/33.20 c_287495,c_290746,c_290712])).
% 251.86/33.20
% 251.86/33.20 cnf(c_418318,plain,
% 251.86/33.20 ($false),
% 251.86/33.20 inference(smt_impl_just,[status(thm)],[c_300102,c_241193,c_146720,c_82])).
% 251.86/33.20
% 251.86/33.20
% 251.86/33.20 % SZS output end CNFRefutation for theBenchmark.p
% 251.86/33.20
% 251.86/33.22
%------------------------------------------------------------------------------