TSTP Solution File: SWV050+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWV050+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 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 03:13:22 EDT 2024
% Result : Theorem 4.26s 1.15s
% Output : CNFRefutation 4.26s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f26,axiom,
! [X22] : n0 = sum(n0,tptp_minus_1,X22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_plus_base) ).
fof(f28,axiom,
n0 = succ(tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_tptp_minus_1) ).
fof(f29,axiom,
! [X0] : succ(X0) = plus(X0,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_1_r) ).
fof(f30,axiom,
! [X0] : succ(X0) = plus(n1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_1_l) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred_minus_1) ).
fof(f40,axiom,
! [X0] : pred(succ(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred_succ) ).
fof(f53,conjecture,
( ( pv88 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89)))))
& pv86 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87))))) )
=> ( pv88 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89)))))
& pv86 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87)))))
& n0 = sum(n0,minus(n0,n1),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91))))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_norm_0022) ).
fof(f54,negated_conjecture,
~ ( ( pv88 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89)))))
& pv86 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87))))) )
=> ( pv88 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89)))))
& pv86 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87)))))
& n0 = sum(n0,minus(n0,n1),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91))))) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f99,plain,
! [X0] : n0 = sum(n0,tptp_minus_1,X0),
inference(rectify,[],[f26]) ).
fof(f148,plain,
( ( pv88 != sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89)))))
| pv86 != sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87)))))
| n0 != sum(n0,minus(n0,n1),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91))))) )
& pv88 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89)))))
& pv86 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87))))) ),
inference(ennf_transformation,[],[f54]) ).
fof(f149,plain,
( ( pv88 != sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89)))))
| pv86 != sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87)))))
| n0 != sum(n0,minus(n0,n1),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91))))) )
& pv88 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89)))))
& pv86 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87))))) ),
inference(flattening,[],[f148]) ).
fof(f293,plain,
! [X0] : n0 = sum(n0,tptp_minus_1,X0),
inference(cnf_transformation,[],[f99]) ).
fof(f295,plain,
n0 = succ(tptp_minus_1),
inference(cnf_transformation,[],[f28]) ).
fof(f296,plain,
! [X0] : succ(X0) = plus(X0,n1),
inference(cnf_transformation,[],[f29]) ).
fof(f297,plain,
! [X0] : succ(X0) = plus(n1,X0),
inference(cnf_transformation,[],[f30]) ).
fof(f306,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f307,plain,
! [X0] : pred(succ(X0)) = X0,
inference(cnf_transformation,[],[f40]) ).
fof(f326,plain,
pv86 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87))))),
inference(cnf_transformation,[],[f149]) ).
fof(f327,plain,
pv88 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89))))),
inference(cnf_transformation,[],[f149]) ).
fof(f328,plain,
( pv88 != sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89)))))
| pv86 != sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87)))))
| n0 != sum(n0,minus(n0,n1),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91))))) ),
inference(cnf_transformation,[],[f149]) ).
fof(f367,plain,
n0 = plus(tptp_minus_1,n1),
inference(definition_unfolding,[],[f295,f296]) ).
fof(f368,plain,
! [X0] : plus(X0,n1) = plus(n1,X0),
inference(definition_unfolding,[],[f297,f296]) ).
fof(f377,plain,
! [X0] : minus(plus(X0,n1),n1) = X0,
inference(definition_unfolding,[],[f307,f306,f296]) ).
cnf(c_126,plain,
sum(n0,tptp_minus_1,X0) = n0,
inference(cnf_transformation,[],[f293]) ).
cnf(c_128,plain,
plus(tptp_minus_1,n1) = n0,
inference(cnf_transformation,[],[f367]) ).
cnf(c_129,plain,
plus(X0,n1) = plus(n1,X0),
inference(cnf_transformation,[],[f368]) ).
cnf(c_138,plain,
minus(plus(X0,n1),n1) = X0,
inference(cnf_transformation,[],[f377]) ).
cnf(c_157,negated_conjecture,
( sum(n0,minus(n0,n1),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91))))) != n0
| sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89))))) != pv88
| sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87))))) != pv86 ),
inference(cnf_transformation,[],[f328]) ).
cnf(c_158,negated_conjecture,
sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89))))) = pv88,
inference(cnf_transformation,[],[f327]) ).
cnf(c_159,negated_conjecture,
sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87))))) = pv86,
inference(cnf_transformation,[],[f326]) ).
cnf(c_282,negated_conjecture,
sum(n0,minus(n0,n1),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91))))) != n0,
inference(global_subsumption_just,[status(thm)],[c_157,c_159,c_158,c_157]) ).
cnf(c_1591,plain,
plus(n1,tptp_minus_1) = n0,
inference(demodulation,[status(thm)],[c_128,c_129]) ).
cnf(c_5793,plain,
minus(n0,n1) = sP0_iProver_def,
definition ).
cnf(c_5794,plain,
a_select2(sigma,pv91) = sP1_iProver_def,
definition ).
cnf(c_5795,plain,
a_select2(sigmaold,pv91) = sP2_iProver_def,
definition ).
cnf(c_5796,plain,
minus(sP1_iProver_def,sP2_iProver_def) = sP3_iProver_def,
definition ).
cnf(c_5797,plain,
abs(sP3_iProver_def) = sP4_iProver_def,
definition ).
cnf(c_5798,plain,
abs(sP1_iProver_def) = sP5_iProver_def,
definition ).
cnf(c_5799,plain,
abs(sP2_iProver_def) = sP6_iProver_def,
definition ).
cnf(c_5800,plain,
plus(sP5_iProver_def,sP6_iProver_def) = sP7_iProver_def,
definition ).
cnf(c_5801,plain,
divide(sP4_iProver_def,sP7_iProver_def) = sP8_iProver_def,
definition ).
cnf(c_5802,plain,
sum(n0,sP0_iProver_def,sP8_iProver_def) = sP9_iProver_def,
definition ).
cnf(c_5822,negated_conjecture,
sP9_iProver_def != n0,
inference(demodulation,[status(thm)],[c_282,c_5799,c_5798,c_5800,c_5795,c_5794,c_5796,c_5797,c_5801,c_5793,c_5802]) ).
cnf(c_8928,plain,
minus(plus(n1,X0),n1) = X0,
inference(superposition,[status(thm)],[c_129,c_138]) ).
cnf(c_9452,plain,
minus(n0,n1) = tptp_minus_1,
inference(superposition,[status(thm)],[c_1591,c_8928]) ).
cnf(c_9462,plain,
tptp_minus_1 = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_9452,c_5793]) ).
cnf(c_9470,plain,
sum(n0,sP0_iProver_def,X0) = n0,
inference(demodulation,[status(thm)],[c_126,c_9462]) ).
cnf(c_9482,plain,
n0 = sP9_iProver_def,
inference(demodulation,[status(thm)],[c_5802,c_9470]) ).
cnf(c_9519,plain,
sP9_iProver_def != sP9_iProver_def,
inference(demodulation,[status(thm)],[c_5822,c_9482]) ).
cnf(c_9520,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_9519]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : SWV050+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.05/0.12 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n007.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 2 23:58:35 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.26/1.15 % SZS status Started for theBenchmark.p
% 4.26/1.15 % SZS status Theorem for theBenchmark.p
% 4.26/1.15
% 4.26/1.15 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.26/1.15
% 4.26/1.15 ------ iProver source info
% 4.26/1.15
% 4.26/1.15 git: date: 2024-05-02 19:28:25 +0000
% 4.26/1.15 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.26/1.15 git: non_committed_changes: false
% 4.26/1.15
% 4.26/1.15 ------ Parsing...
% 4.26/1.15 ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.26/1.15
% 4.26/1.15 ------ Preprocessing... sup_sim: 16 sf_s rm: 1 0s sf_e pe_s pe_e
% 4.26/1.15
% 4.26/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.26/1.15
% 4.26/1.15 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.26/1.15 ------ Proving...
% 4.26/1.15 ------ Problem Properties
% 4.26/1.15
% 4.26/1.15
% 4.26/1.15 clauses 172
% 4.26/1.15 conjectures 3
% 4.26/1.15 EPR 39
% 4.26/1.15 Horn 122
% 4.26/1.15 unary 78
% 4.26/1.15 binary 34
% 4.26/1.15 lits 511
% 4.26/1.15 lits eq 145
% 4.26/1.15 fd_pure 0
% 4.26/1.15 fd_pseudo 0
% 4.26/1.15 fd_cond 6
% 4.26/1.15 fd_pseudo_cond 4
% 4.26/1.15 AC symbols 0
% 4.26/1.15
% 4.26/1.15 ------ Schedule dynamic 5 is on
% 4.26/1.15
% 4.26/1.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.26/1.15
% 4.26/1.15
% 4.26/1.15 ------
% 4.26/1.15 Current options:
% 4.26/1.15 ------
% 4.26/1.15
% 4.26/1.15
% 4.26/1.15
% 4.26/1.15
% 4.26/1.15 ------ Proving...
% 4.26/1.15
% 4.26/1.15
% 4.26/1.15 % SZS status Theorem for theBenchmark.p
% 4.26/1.15
% 4.26/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.26/1.15
% 4.26/1.15
%------------------------------------------------------------------------------