TSTP Solution File: NUM845+2 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : NUM845+2 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n001.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 : Mon Jun 24 12:55:50 EDT 2024
% Result : Theorem 2.95s 1.13s
% Output : CNFRefutation 2.95s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f59)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
vplus(vmul(vd411,vplus(v1,sK0)),vplus(v1,sK0)) != vmul(vplus(v1,vd411),vplus(v1,sK0)),
inference(cnf_transformation,[],[f59]) ).
cnf(c_50,negated_conjecture,
vplus(vmul(vd411,sK0),sK0) = vmul(vplus(v1,vd411),sK0),
inference(cnf_transformation,[],[f60]) ).
cnf(c_61,plain,
vplus(vmul(X0,X1),X0) = vmul(X0,vplus(v1,X1)),
inference(cnf_transformation,[],[f70]) ).
cnf(c_62,plain,
vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f54]) ).
cnf(c_158,plain,
vmul(vd411,sK0) = sP0_iProver_def,
definition ).
cnf(c_159,plain,
vplus(sK0,sP0_iProver_def) = sP1_iProver_def,
definition ).
cnf(c_160,plain,
vplus(vd411,v1) = sP2_iProver_def,
definition ).
cnf(c_161,plain,
vmul(sP2_iProver_def,sK0) = sP3_iProver_def,
definition ).
fof(f12,axiom,
! [X2,X3] :
( vmul(X2,v1) = X2
& vmul(X2,vsucc(X3)) = vplus(vmul(X2,X3),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))') ).
fof(f53,plain,
! [X0] : vmul(X0,v1) = X0,
inference(cnf_transformation,[],[f25]) ).
fof(f14,axiom,
! [X6] : vplus(v1,X6) = vsucc(X6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(43, 0), 0)') ).
fof(f57,plain,
! [X0,X1] : vplus(X0,vsucc(X1)) = vsucc(vplus(X0,X1)),
inference(cnf_transformation,[],[f29]) ).
fof(f25,plain,
! [X0,X1] :
( vmul(X0,v1) = X0
& vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0) ),
inference(rectify,[],[f12]) ).
fof(f27,plain,
! [X0] : vsucc(X0) = vplus(v1,X0),
inference(rectify,[],[f14]) ).
fof(f29,plain,
! [X0,X1] :
( vsucc(X0) = vplus(X0,v1)
& vplus(X0,vsucc(X1)) = vsucc(vplus(X0,X1)) ),
inference(rectify,[],[f16]) ).
fof(f52,plain,
! [X0,X1] : vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0),
inference(cnf_transformation,[],[f25]) ).
fof(f55,plain,
! [X0] : vsucc(X0) = vplus(v1,X0),
inference(cnf_transformation,[],[f27]) ).
fof(f13,axiom,
! [X4,X5] : vplus(X5,X4) = vplus(X4,X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof(f70,plain,
! [X0,X1] : vplus(vmul(X0,X1),X0) = vmul(X0,vplus(v1,X1)),
inference(definition_unfolding,[],[f52,f55]) ).
fof(f26,plain,
! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
inference(rectify,[],[f13]) ).
fof(f15,axiom,
! [X7,X8,X9] : vplus(vplus(X7,X8),X9) = vplus(X7,vplus(X8,X9)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(33, 0), 0)') ).
fof(f54,plain,
! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
inference(cnf_transformation,[],[f26]) ).
fof(f28,plain,
! [X0,X1,X2] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(rectify,[],[f15]) ).
fof(f56,plain,
! [X2,X0,X1] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f28]) ).
fof(f58,plain,
! [X0] : vsucc(X0) = vplus(X0,v1),
inference(cnf_transformation,[],[f29]) ).
fof(f16,axiom,
! [X10,X11] :
( vplus(X10,v1) = vsucc(X10)
& vplus(X10,vsucc(X11)) = vsucc(vplus(X10,X11)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))') ).
fof(f71,plain,
! [X0] : vplus(v1,X0) = vplus(X0,v1),
inference(definition_unfolding,[],[f58,f55]) ).
cnf(c_63,plain,
vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f56]) ).
cnf(c_79,negated_conjecture,
vplus(v1,vplus(sK0,vmul(vd411,vplus(v1,sK0)))) != vmul(vplus(vd411,v1),vplus(v1,sK0)),
inference(theory_normalisation,[status(thm)],[c_49,c_63,c_62]) ).
cnf(c_80,negated_conjecture,
vplus(sK0,vmul(vd411,sK0)) = vmul(vplus(vd411,v1),sK0),
inference(theory_normalisation,[status(thm)],[c_50,c_63,c_62]) ).
cnf(c_84,plain,
vplus(X0,vmul(X0,X1)) = vmul(X0,vplus(v1,X1)),
inference(theory_normalisation,[status(thm)],[c_61,c_63,c_62]) ).
cnf(c_113,plain,
vplus(v1,vplus(sK0,vplus(vd411,vmul(vd411,sK0)))) != vmul(vplus(vd411,v1),vplus(v1,sK0)),
inference(demodulation,[status(thm)],[c_79,c_84]) ).
cnf(c_114,plain,
vplus(vd411,vplus(v1,vplus(sK0,vmul(vd411,sK0)))) != vmul(vplus(vd411,v1),vplus(v1,sK0)),
inference(theory_normalisation,[status(thm)],[c_113,c_63,c_62]) ).
cnf(c_162,negated_conjecture,
sP1_iProver_def = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_80,c_160,c_161,c_158,c_159]) ).
cnf(c_217,plain,
vplus(X0,vplus(X1,X2)) = vplus(X1,vplus(X0,X2)),
inference(superposition,[status(thm)],[c_63,c_62]) ).
cnf(c_220,plain,
vplus(vd411,vplus(v1,sP1_iProver_def)) != vmul(sP2_iProver_def,vplus(v1,sK0)),
inference(light_normalisation,[status(thm)],[c_114,c_158,c_159,c_160]) ).
cnf(c_221,plain,
vplus(sP1_iProver_def,sP2_iProver_def) != vplus(sP1_iProver_def,sP2_iProver_def),
inference(demodulation,[status(thm)],[c_220,c_62,c_84,c_160,c_161,c_162,c_217]) ).
cnf(c_222,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_221]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM845+2 : TPTP v8.2.0. Released v4.1.0.
% 0.03/0.12 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n001.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Jun 23 01:10:39 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.95/1.13 % SZS status Started for theBenchmark.p
% 2.95/1.13 % SZS status Theorem for theBenchmark.p
% 2.95/1.13
% 2.95/1.13 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.95/1.13
% 2.95/1.13 ------ iProver source info
% 2.95/1.13
% 2.95/1.13 git: date: 2024-06-12 09:56:46 +0000
% 2.95/1.13 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 2.95/1.13 git: non_committed_changes: false
% 2.95/1.13
% 2.95/1.13 ------ Parsing...
% 2.95/1.13 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.95/1.13
% 2.95/1.13 ------ Preprocessing... sup_sim: 2 sf_s rm: 0 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 2.95/1.13
% 2.95/1.13 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.95/1.13
% 2.95/1.13 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.95/1.13 ------ Proving...
% 2.95/1.13 ------ Problem Properties
% 2.95/1.13
% 2.95/1.13
% 2.95/1.13 clauses 12
% 2.95/1.13 conjectures 1
% 2.95/1.13 EPR 1
% 2.95/1.13 Horn 12
% 2.95/1.13 unary 10
% 2.95/1.13 binary 2
% 2.95/1.13 lits 14
% 2.95/1.13 lits eq 14
% 2.95/1.13 fd_pure 0
% 2.95/1.13 fd_pseudo 0
% 2.95/1.13 fd_cond 0
% 2.95/1.13 fd_pseudo_cond 0
% 2.95/1.13 AC symbols 1
% 2.95/1.13
% 2.95/1.13 ------ Schedule dynamic 5 is on
% 2.95/1.13
% 2.95/1.13 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.95/1.13
% 2.95/1.13
% 2.95/1.13 ------
% 2.95/1.13 Current options:
% 2.95/1.13 ------
% 2.95/1.13
% 2.95/1.13
% 2.95/1.13
% 2.95/1.13
% 2.95/1.13 ------ Proving...
% 2.95/1.13
% 2.95/1.13
% 2.95/1.13 % SZS status Theorem for theBenchmark.p
% 2.95/1.13
% 2.95/1.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.95/1.13
% 2.95/1.13
%------------------------------------------------------------------------------