TSTP Solution File: NUM920_1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : NUM920_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n007.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 : Fri May 3 02:51:05 EDT 2024
% Result : Theorem 7.88s 1.67s
% Output : CNFRefutation 7.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUM920_1 : TPTP v8.1.2. Released v5.0.0.
% 0.08/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 2 19:26:50 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running TFA theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa --heuristic_context casc_unsat /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.88/1.67 % SZS status Started for theBenchmark.p
% 7.88/1.67 % SZS status Theorem for theBenchmark.p
% 7.88/1.67
% 7.88/1.67 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.88/1.67
% 7.88/1.67 ------ iProver source info
% 7.88/1.67
% 7.88/1.67 git: date: 2024-05-02 19:28:25 +0000
% 7.88/1.67 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.88/1.67 git: non_committed_changes: false
% 7.88/1.67
% 7.88/1.67 ------ Parsing...
% 7.88/1.67 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.88/1.67
% 7.88/1.67 ------ 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
% 7.88/1.67
% 7.88/1.67 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.88/1.67
% 7.88/1.67 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.88/1.67 ------ Proving...
% 7.88/1.67 ------ Problem Properties
% 7.88/1.67
% 7.88/1.67
% 7.88/1.67 clauses 14
% 7.88/1.67 conjectures 4
% 7.88/1.67 EPR 5
% 7.88/1.67 Horn 12
% 7.88/1.67 unary 9
% 7.88/1.67 binary 3
% 7.88/1.67 lits 21
% 7.88/1.67 lits eq 7
% 7.88/1.67 fd_pure 0
% 7.88/1.67 fd_pseudo 0
% 7.88/1.67 fd_cond 0
% 7.88/1.67 fd_pseudo_cond 1
% 7.88/1.67 AC symbols 1
% 7.88/1.67
% 7.88/1.67 ------ Input Options Time Limit: Unbounded
% 7.88/1.67
% 7.88/1.67
% 7.88/1.67 ------
% 7.88/1.67 Current options:
% 7.88/1.67 ------
% 7.88/1.67
% 7.88/1.67
% 7.88/1.67
% 7.88/1.67
% 7.88/1.67 ------ Proving...
% 7.88/1.67
% 7.88/1.67
% 7.88/1.67 % SZS status Theorem for theBenchmark.p
% 7.88/1.67
% 7.88/1.67 % SZS output start CNFRefutation for theBenchmark.p
% 7.88/1.67
% 7.88/1.67 tff(f1,conjecture,(
% 7.88/1.67 ~? [X0 : $int] : (! [X1 : $int] : ($less(X1,X0) => $less($sum(X1,1),X0)) & $less(0,X0))),
% 7.88/1.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)).
% 7.88/1.67
% 7.88/1.67 tff(f2,negated_conjecture,(
% 7.88/1.67 ~~? [X0 : $int] : (! [X1 : $int] : ($less(X1,X0) => $less($sum(X1,1),X0)) & $less(0,X0))),
% 7.88/1.67 inference(negated_conjecture,[],[f1])).
% 7.88/1.67
% 7.88/1.67 tff(f3,plain,(
% 7.88/1.67 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 7.88/1.67 introduced(theory_axiom_138,[])).
% 7.88/1.67
% 7.88/1.67 tff(f4,plain,(
% 7.88/1.67 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 7.88/1.67 introduced(theory_axiom_139,[])).
% 7.88/1.67
% 7.88/1.67 tff(f5,plain,(
% 7.88/1.67 ( ! [X0 : $int] : ($sum(X0,0) = X0) )),
% 7.88/1.67 introduced(theory_axiom_140,[])).
% 7.88/1.67
% 7.88/1.67 tff(f7,plain,(
% 7.88/1.67 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 7.88/1.67 introduced(theory_axiom_143,[])).
% 7.88/1.67
% 7.88/1.67 tff(f8,plain,(
% 7.88/1.67 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 7.88/1.67 introduced(theory_axiom_145,[])).
% 7.88/1.67
% 7.88/1.67 tff(f10,plain,(
% 7.88/1.67 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )),
% 7.88/1.67 introduced(theory_axiom_147,[])).
% 7.88/1.67
% 7.88/1.67 tff(f15,plain,(
% 7.88/1.67 ? [X0 : $int] : (! [X1 : $int] : ($less(X1,X0) => $less($sum(X1,1),X0)) & $less(0,X0))),
% 7.88/1.67 inference(flattening,[],[f2])).
% 7.88/1.67
% 7.88/1.67 tff(f16,plain,(
% 7.88/1.67 ? [X0 : $int] : (! [X1 : $int] : ($less($sum(X1,1),X0) | ~$less(X1,X0)) & $less(0,X0))),
% 7.88/1.67 inference(ennf_transformation,[],[f15])).
% 7.88/1.67
% 7.88/1.67 tff(f17,plain,(
% 7.88/1.67 ? [X0 : $int] : (! [X1 : $int] : ($less($sum(X1,1),X0) | ~$less(X1,X0)) & $less(0,X0)) => (! [X1 : $int] : ($less($sum(X1,1),sK0) | ~$less(X1,sK0)) & $less(0,sK0))),
% 7.88/1.67 introduced(choice_axiom,[])).
% 7.88/1.67
% 7.88/1.67 tff(f18,plain,(
% 7.88/1.67 ! [X1 : $int] : ($less($sum(X1,1),sK0) | ~$less(X1,sK0)) & $less(0,sK0)),
% 7.88/1.67 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f16,f17])).
% 7.88/1.67
% 7.88/1.67 tff(f20,plain,(
% 7.88/1.67 ( ! [X1 : $int] : ($less($sum(X1,1),sK0) | ~$less(X1,sK0)) )),
% 7.88/1.67 inference(cnf_transformation,[],[f18])).
% 7.88/1.67
% 7.88/1.67 cnf(c_53,plain,
% 7.88/1.67 (X0_3 = X1_3|$less_int(X0_3,X1_3)|$less_int(X1_3,X0_3)),
% 7.88/1.67 inference(cnf_transformation,[],[f10])).
% 7.88/1.67
% 7.88/1.67 cnf(c_55,negated_conjecture,
% 7.88/1.67 (~$less_int(X0_3,X0_3)),
% 7.88/1.67 inference(cnf_transformation,[],[f8])).
% 7.88/1.67
% 7.88/1.67 cnf(c_56,plain,
% 7.88/1.67 ($sum_int(X0_3,$uminus_int(X0_3)) = 0),
% 7.88/1.67 inference(cnf_transformation,[],[f7])).
% 7.88/1.67
% 7.88/1.67 cnf(c_58,plain,
% 7.88/1.67 ($sum_int(X0_3,0) = X0_3),
% 7.88/1.67 inference(cnf_transformation,[],[f5])).
% 7.88/1.67
% 7.88/1.67 cnf(c_59,plain,
% 7.88/1.67 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 7.88/1.67 inference(cnf_transformation,[],[f4])).
% 7.88/1.67
% 7.88/1.67 cnf(c_60,plain,
% 7.88/1.67 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 7.88/1.67 inference(cnf_transformation,[],[f3])).
% 7.88/1.67
% 7.88/1.67 cnf(c_61,negated_conjecture,
% 7.88/1.67 (~$less_int(X0_3,sK0)|$less_int($sum_int(X0_3,1),sK0)),
% 7.88/1.67 inference(cnf_transformation,[],[f20])).
% 7.88/1.67
% 7.88/1.67 cnf(c_516,plain,
% 7.88/1.67 ($sum_int(X0_3,$sum_int(X1_3,X2_3)) = $sum_int(X1_3,$sum_int(X0_3,X2_3))),
% 7.88/1.67 inference(superposition,[status(thm)],[c_59,c_60])).
% 7.88/1.67
% 7.88/1.67 cnf(c_1009,plain,
% 7.88/1.67 (~$less_int(X0_3,sK0)|$less_int($sum_int(1,X0_3),sK0)),
% 7.88/1.67 inference(superposition,[status(thm)],[c_60,c_61])).
% 7.88/1.67
% 7.88/1.67 cnf(c_1098,plain,
% 7.88/1.67 ($sum_int(X0_3,$sum_int(X1_3,$uminus_int(X0_3))) = $sum_int(X1_3,0)),
% 7.88/1.67 inference(superposition,[status(thm)],[c_56,c_516])).
% 7.88/1.67
% 7.88/1.67 cnf(c_1138,plain,
% 7.88/1.67 ($sum_int(X0_3,$sum_int(X1_3,$uminus_int(X0_3))) = X1_3),
% 7.88/1.67 inference(demodulation,[status(thm)],[c_1098,c_58])).
% 7.88/1.67
% 7.88/1.67 cnf(c_2485,plain,
% 7.88/1.67 (~$less_int($sum_int(X0_3,$uminus_int(1)),sK0)|$less_int(X0_3,sK0)),
% 7.88/1.67 inference(superposition,[status(thm)],[c_1138,c_1009])).
% 7.88/1.67
% 7.88/1.67 cnf(c_2733,plain,
% 7.88/1.67 (~$less_int($sum_int(-1,X0_3),sK0)|$less_int(X0_3,sK0)),
% 7.88/1.67 inference(smt_theory_normalisation,[status(thm)],[c_2485])).
% 7.88/1.67
% 7.88/1.67 cnf(c_2736,plain,
% 7.88/1.67 ($sum_int(-1,X0_3) = sK0|$less_int(sK0,$sum_int(-1,X0_3))|$less_int(X0_3,sK0)),
% 7.88/1.67 inference(superposition,[status(thm)],[c_53,c_2733])).
% 7.88/1.67
% 7.88/1.67 cnf(c_12222,plain,
% 7.88/1.67 ($sum_int(-1,sK0) = sK0|$less_int(sK0,$sum_int(-1,sK0))),
% 7.88/1.67 inference(superposition,[status(thm)],[c_2736,c_55])).
% 7.88/1.67
% 7.88/1.67 cnf(c_12231,plain,
% 7.88/1.67 ($sum_int(sK0,-1) = sK0|$less_int(sK0,$sum_int(sK0,-1))),
% 7.88/1.67 inference(theory_normalisation,[status(thm)],[c_12222,c_59,c_60])).
% 7.88/1.67
% 7.88/1.67 cnf(c_12705,plain,
% 7.88/1.67 ($false),
% 7.88/1.67 inference(smt_theory_normalisation,[status(thm)],[c_12231])).
% 7.88/1.67
% 7.88/1.67
% 7.88/1.67 % SZS output end CNFRefutation for theBenchmark.p
% 7.88/1.67
% 7.88/1.67
%------------------------------------------------------------------------------