TSTP Solution File: NUM902_1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : NUM902_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 02:51:03 EDT 2024
% Result : Theorem 2.27s 1.19s
% Output : CNFRefutation 2.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUM902_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 19:29:20 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.49 Running TFA theorem proving
% 0.20/0.49 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
% 2.27/1.19 % SZS status Started for theBenchmark.p
% 2.27/1.19 % SZS status Theorem for theBenchmark.p
% 2.27/1.19
% 2.27/1.19 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.27/1.19
% 2.27/1.19 ------ iProver source info
% 2.27/1.19
% 2.27/1.19 git: date: 2024-05-02 19:28:25 +0000
% 2.27/1.19 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.27/1.19 git: non_committed_changes: false
% 2.27/1.19
% 2.27/1.19 ------ Parsing...
% 2.27/1.19 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.27/1.19
% 2.27/1.19 ------ 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
% 2.27/1.19
% 2.27/1.19 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.27/1.19
% 2.27/1.19 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.27/1.19 ------ Proving...
% 2.27/1.19 ------ Problem Properties
% 2.27/1.19
% 2.27/1.19
% 2.27/1.19 clauses 12
% 2.27/1.19 conjectures 2
% 2.27/1.19 EPR 4
% 2.27/1.19 Horn 10
% 2.27/1.19 unary 9
% 2.27/1.19 binary 1
% 2.27/1.19 lits 17
% 2.27/1.19 lits eq 9
% 2.27/1.19 fd_pure 0
% 2.27/1.19 fd_pseudo 0
% 2.27/1.19 fd_cond 0
% 2.27/1.19 fd_pseudo_cond 1
% 2.27/1.19 AC symbols 1
% 2.27/1.19
% 2.27/1.19 ------ Input Options Time Limit: Unbounded
% 2.27/1.19
% 2.27/1.19
% 2.27/1.19 ------
% 2.27/1.19 Current options:
% 2.27/1.19 ------
% 2.27/1.19
% 2.27/1.19
% 2.27/1.19
% 2.27/1.19
% 2.27/1.19 ------ Proving...
% 2.27/1.19
% 2.27/1.19
% 2.27/1.19 % SZS status Theorem for theBenchmark.p
% 2.27/1.19
% 2.27/1.19 % SZS output start CNFRefutation for theBenchmark.p
% 2.27/1.19
% 2.27/1.19 tff(f1,conjecture,(
% 2.27/1.19 ! [X0 : $rat,X1 : $rat] : ($difference(X0,X1) = 0/1 => X0 = X1)),
% 2.27/1.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_difference_problem_13)).
% 2.27/1.19
% 2.27/1.19 tff(f2,negated_conjecture,(
% 2.27/1.19 ~! [X0 : $rat,X1 : $rat] : ($difference(X0,X1) = 0/1 => X0 = X1)),
% 2.27/1.19 inference(negated_conjecture,[],[f1])).
% 2.27/1.19
% 2.27/1.19 tff(f3,plain,(
% 2.27/1.19 ~! [X0 : $rat,X1 : $rat] : (0/1 = $sum(X0,$uminus(X1)) => X0 = X1)),
% 2.27/1.19 inference(theory_normalization,[],[f2])).
% 2.27/1.19
% 2.27/1.19 tff(f4,plain,(
% 2.27/1.19 ( ! [X0 : $rat,X1 : $rat] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 2.27/1.19 introduced(theory_axiom_138,[])).
% 2.27/1.19
% 2.27/1.19 tff(f5,plain,(
% 2.27/1.19 ( ! [X2 : $rat,X0 : $rat,X1 : $rat] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 2.27/1.19 introduced(theory_axiom_139,[])).
% 2.27/1.19
% 2.27/1.19 tff(f6,plain,(
% 2.27/1.19 ( ! [X0 : $rat] : ($sum(X0,0/1) = X0) )),
% 2.27/1.19 introduced(theory_axiom_140,[])).
% 2.27/1.19
% 2.27/1.19 tff(f8,plain,(
% 2.27/1.19 ( ! [X0 : $rat] : (0/1 = $sum(X0,$uminus(X0))) )),
% 2.27/1.19 introduced(theory_axiom_143,[])).
% 2.27/1.19
% 2.27/1.19 tff(f15,plain,(
% 2.27/1.19 ? [X0 : $rat,X1 : $rat] : (X0 != X1 & 0/1 = $sum(X0,$uminus(X1)))),
% 2.27/1.19 inference(ennf_transformation,[],[f3])).
% 2.27/1.19
% 2.27/1.19 tff(f16,plain,(
% 2.27/1.19 ? [X0 : $rat,X1 : $rat] : (X0 != X1 & 0/1 = $sum(X0,$uminus(X1))) => (sK0 != sK1 & 0/1 = $sum(sK0,$uminus(sK1)))),
% 2.27/1.19 introduced(choice_axiom,[])).
% 2.27/1.19
% 2.27/1.19 tff(f17,plain,(
% 2.27/1.19 sK0 != sK1 & 0/1 = $sum(sK0,$uminus(sK1))),
% 2.27/1.19 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f15,f16])).
% 2.27/1.19
% 2.27/1.19 tff(f18,plain,(
% 2.27/1.19 0/1 = $sum(sK0,$uminus(sK1))),
% 2.27/1.19 inference(cnf_transformation,[],[f17])).
% 2.27/1.19
% 2.27/1.19 tff(f19,plain,(
% 2.27/1.19 sK0 != sK1),
% 2.27/1.19 inference(cnf_transformation,[],[f17])).
% 2.27/1.19
% 2.27/1.19 cnf(c_55,plain,
% 2.27/1.19 ($sum_rat(X0_4,$uminus_rat(X0_4)) = 0/1),
% 2.27/1.19 inference(cnf_transformation,[],[f8])).
% 2.27/1.19
% 2.27/1.19 cnf(c_57,plain,
% 2.27/1.19 ($sum_rat(X0_4,0/1) = X0_4),
% 2.27/1.19 inference(cnf_transformation,[],[f6])).
% 2.27/1.19
% 2.27/1.19 cnf(c_58,plain,
% 2.27/1.19 ($sum_rat($sum_rat(X0_4,X1_4),X2_4) = $sum_rat(X0_4,$sum_rat(X1_4,X2_4))),
% 2.27/1.19 inference(cnf_transformation,[],[f5])).
% 2.27/1.19
% 2.27/1.19 cnf(c_59,plain,
% 2.27/1.19 ($sum_rat(X0_4,X1_4) = $sum_rat(X1_4,X0_4)),
% 2.27/1.19 inference(cnf_transformation,[],[f4])).
% 2.27/1.19
% 2.27/1.19 cnf(c_60,negated_conjecture,
% 2.27/1.19 (sK0 != sK1),
% 2.27/1.19 inference(cnf_transformation,[],[f19])).
% 2.27/1.19
% 2.27/1.19 cnf(c_61,negated_conjecture,
% 2.27/1.19 ($sum_rat(sK0,$uminus_rat(sK1)) = 0/1),
% 2.27/1.19 inference(cnf_transformation,[],[f18])).
% 2.27/1.19
% 2.27/1.19 cnf(c_311,plain,
% 2.27/1.19 ($sum_rat(X0_4,$sum_rat(X1_4,X2_4)) = $sum_rat(X1_4,$sum_rat(X0_4,X2_4))),
% 2.27/1.19 inference(superposition,[status(thm)],[c_58,c_59])).
% 2.27/1.19
% 2.27/1.19 cnf(c_323,plain,
% 2.27/1.19 ($sum_rat(X0_4,$sum_rat(X1_4,$uminus_rat(X0_4))) = $sum_rat(X1_4,0/1)),
% 2.27/1.19 inference(superposition,[status(thm)],[c_55,c_311])).
% 2.27/1.19
% 2.27/1.19 cnf(c_536,plain,
% 2.27/1.19 ($sum_rat(X0_4,$sum_rat(X1_4,$uminus_rat(X0_4))) = X1_4),
% 2.27/1.19 inference(demodulation,[status(thm)],[c_323,c_57])).
% 2.27/1.19
% 2.27/1.19 cnf(c_544,plain,
% 2.27/1.19 ($sum_rat(sK1,0/1) = sK0),
% 2.27/1.19 inference(superposition,[status(thm)],[c_61,c_536])).
% 2.27/1.19
% 2.27/1.19 cnf(c_555,plain,
% 2.27/1.19 ($sum_rat(0/1,sK1) = sK0),
% 2.27/1.19 inference(theory_normalisation,[status(thm)],[c_544,c_58,c_59])).
% 2.27/1.19
% 2.27/1.19 cnf(c_629,plain,
% 2.27/1.19 (sK0 = sK1),
% 2.27/1.19 inference(smt_theory_normalisation,[status(thm)],[c_555])).
% 2.27/1.19
% 2.27/1.19 cnf(c_630,plain,
% 2.27/1.19 ($false),
% 2.27/1.19 inference(prop_impl_just,[status(thm)],[c_629,c_60])).
% 2.27/1.19
% 2.27/1.19
% 2.27/1.19 % SZS output end CNFRefutation for theBenchmark.p
% 2.27/1.19
% 2.27/1.19
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