TSTP Solution File: NUM848+2 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM848+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n018.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 : Thu Aug 31 11:33:14 EDT 2023
% Result : Theorem 1.92s 1.16s
% Output : CNFRefutation 1.92s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f45)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
vplus(vmul(vd436,vd437),vmul(vd436,vplus(v1,vd439))) != vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)),
inference(cnf_transformation,[],[f45]) ).
cnf(c_54,plain,
vplus(vmul(vd436,vd437),vmul(vd436,vd439)) = vmul(vd436,vplus(vd437,vd439)),
inference(cnf_transformation,[],[f33]) ).
cnf(c_58,plain,
vplus(vmul(X0,X1),X0) = vmul(X0,vplus(v1,X1)),
inference(cnf_transformation,[],[f49]) ).
cnf(c_59,plain,
vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f38]) ).
fof(f10,axiom,
! [X0,X1] :
( vmul(X0,v1) = X0
& vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))') ).
fof(f37,plain,
! [X0] : vmul(X0,v1) = X0,
inference(cnf_transformation,[],[f10]) ).
fof(f14,axiom,
! [X8] : vplus(v1,X8) = vsucc(X8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(43, 0), 0)') ).
fof(f44,plain,
! [X0] :
( vsucc(vskolem2(X0)) = X0
| v1 = X0 ),
inference(cnf_transformation,[],[f27]) ).
fof(f22,plain,
! [X0] : vsucc(X0) = vplus(v1,X0),
inference(rectify,[],[f14]) ).
fof(f24,plain,
! [X0,X1] :
( vsucc(X0) = vplus(X0,v1)
& vsucc(vplus(X0,X1)) = vplus(X0,vsucc(X1)) ),
inference(rectify,[],[f16]) ).
fof(f25,plain,
! [X0] :
( v1 != X0
=> vsucc(vskolem2(X0)) = X0 ),
inference(rectify,[],[f17]) ).
fof(f27,plain,
! [X0] :
( vsucc(vskolem2(X0)) = X0
| v1 = X0 ),
inference(ennf_transformation,[],[f25]) ).
fof(f36,plain,
! [X0,X1] : vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0),
inference(cnf_transformation,[],[f10]) ).
fof(f40,plain,
! [X0] : vsucc(X0) = vplus(v1,X0),
inference(cnf_transformation,[],[f22]) ).
fof(f12,axiom,
! [X4,X5] : vplus(X5,X4) = vplus(X4,X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof(f49,plain,
! [X0,X1] : vplus(vmul(X0,X1),X0) = vmul(X0,vplus(v1,X1)),
inference(definition_unfolding,[],[f36,f40]) ).
fof(f20,plain,
! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
inference(rectify,[],[f12]) ).
fof(f13,axiom,
! [X6,X7] : vplus(vsucc(X6),X7) = vsucc(vplus(X6,X7)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(52, 0), 0)') ).
fof(f38,plain,
! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
inference(cnf_transformation,[],[f20]) ).
fof(f21,plain,
! [X0,X1] : vplus(vsucc(X0),X1) = vsucc(vplus(X0,X1)),
inference(rectify,[],[f13]) ).
fof(f39,plain,
! [X0,X1] : vplus(vsucc(X0),X1) = vsucc(vplus(X0,X1)),
inference(cnf_transformation,[],[f21]) ).
fof(f15,axiom,
! [X9,X10,X11] : vplus(vplus(X9,X10),X11) = vplus(X9,vplus(X10,X11)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(33, 0), 0)') ).
fof(f50,plain,
! [X0,X1] : vplus(vplus(v1,X0),X1) = vplus(v1,vplus(X0,X1)),
inference(definition_unfolding,[],[f39,f40,f40]) ).
fof(f23,plain,
! [X0,X1,X2] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(rectify,[],[f15]) ).
fof(f41,plain,
! [X2,X0,X1] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f23]) ).
fof(f42,plain,
! [X0,X1] : vsucc(vplus(X0,X1)) = vplus(X0,vsucc(X1)),
inference(cnf_transformation,[],[f24]) ).
fof(f17,axiom,
! [X14] :
( v1 != X14
=> vsucc(vskolem2(X14)) = X14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(20, 0), 0)') ).
fof(f52,plain,
! [X0,X1] : vplus(v1,vplus(X0,X1)) = vplus(X0,vplus(v1,X1)),
inference(definition_unfolding,[],[f42,f40,f40]) ).
fof(f43,plain,
! [X0] : vsucc(X0) = vplus(X0,v1),
inference(cnf_transformation,[],[f24]) ).
fof(f16,axiom,
! [X12,X13] :
( vplus(X12,v1) = vsucc(X12)
& vplus(X12,vsucc(X13)) = vsucc(vplus(X12,X13)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))') ).
fof(f51,plain,
! [X0] : vplus(v1,X0) = vplus(X0,v1),
inference(definition_unfolding,[],[f43,f40]) ).
cnf(c_61,plain,
vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f41]) ).
cnf(c_73,negated_conjecture,
vplus(vmul(vd436,vd437),vmul(vd436,vplus(v1,vd439))) != vplus(vd436,vplus(vmul(vd436,vd437),vmul(vd436,vd439))),
inference(theory_normalisation,[status(thm)],[c_49,c_61,c_59]) ).
cnf(c_78,plain,
vplus(X0,vmul(X0,X1)) = vmul(X0,vplus(v1,X1)),
inference(theory_normalisation,[status(thm)],[c_58,c_61,c_59]) ).
cnf(c_107,plain,
vplus(vmul(vd436,vd437),vmul(vd436,vplus(v1,vd439))) != vplus(vd436,vmul(vd436,vplus(vd437,vd439))),
inference(ac_demodulation,[status(thm)],[c_73,c_54,c_61,c_59]) ).
cnf(c_108,plain,
vplus(vmul(vd436,vd437),vplus(vd436,vmul(vd436,vd439))) != vplus(vd436,vmul(vd436,vplus(vd437,vd439))),
inference(demodulation,[status(thm)],[c_107,c_78]) ).
cnf(c_109,plain,
$false,
inference(ac_demodulation,[status(thm)],[c_108,c_54,c_61,c_59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM848+2 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.18/0.35 % Computer : n018.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Fri Aug 25 13:01:59 EDT 2023
% 0.18/0.35 % CPUTime :
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.92/1.16 % SZS status Started for theBenchmark.p
% 1.92/1.16 % SZS status Theorem for theBenchmark.p
% 1.92/1.16
% 1.92/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.92/1.16
% 1.92/1.16 ------ iProver source info
% 1.92/1.16
% 1.92/1.16 git: date: 2023-05-31 18:12:56 +0000
% 1.92/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.92/1.16 git: non_committed_changes: false
% 1.92/1.16 git: last_make_outside_of_git: false
% 1.92/1.16
% 1.92/1.16 ------ Parsing...
% 1.92/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.92/1.16
% 1.92/1.16 ------ Preprocessing...
% 1.92/1.16
% 1.92/1.16 % SZS status Theorem for theBenchmark.p
% 1.92/1.16
% 1.92/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.92/1.16
% 1.92/1.16
%------------------------------------------------------------------------------