TSTP Solution File: NUM846+2 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM846+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n005.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 11:33:13 EDT 2023
% Result : Theorem 0.48s 1.17s
% Output : CNFRefutation 0.48s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f42)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436) != vplus(vmul(vd436,vplus(vd437,vd439)),vd436),
inference(cnf_transformation,[],[f42]) ).
cnf(c_52,plain,
vplus(vmul(vd436,vd437),vmul(vd436,vd439)) = vmul(vd436,vplus(vd437,vd439)),
inference(cnf_transformation,[],[f45]) ).
cnf(c_60,plain,
vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f53]) ).
fof(f11,axiom,
! [X3,X4] :
( vmul(X3,v1) = X3
& vmul(X3,vsucc(X4)) = vplus(vmul(X3,X4),X3) ),
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(f52,plain,
! [X0] : vmul(X0,v1) = X0,
inference(cnf_transformation,[],[f25]) ).
fof(f17,axiom,
! [X14] : vplus(v1,X14) = vsucc(X14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(43, 0), 0)') ).
fof(f61,plain,
! [X0,X1] :
( vsucc(X1) != vsucc(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f41]) ).
fof(f25,plain,
! [X0,X1] :
( vmul(X0,v1) = X0
& vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0) ),
inference(rectify,[],[f11]) ).
fof(f31,plain,
! [X0] : vsucc(X0) = vplus(v1,X0),
inference(rectify,[],[f17]) ).
fof(f33,plain,
! [X0,X1] :
( vsucc(X0) = vplus(X0,v1)
& vsucc(vplus(X0,X1)) = vplus(X0,vsucc(X1)) ),
inference(rectify,[],[f19]) ).
fof(f34,plain,
! [X0] :
( v1 != X0
=> vsucc(vskolem2(X0)) = X0 ),
inference(rectify,[],[f20]) ).
fof(f35,plain,
! [X0] : vsucc(X0) != X0,
inference(rectify,[],[f21]) ).
fof(f36,plain,
! [X0,X1] :
( X0 != X1
=> vsucc(X1) != vsucc(X0) ),
inference(rectify,[],[f22]) ).
fof(f40,plain,
! [X0] :
( vsucc(vskolem2(X0)) = X0
| v1 = X0 ),
inference(ennf_transformation,[],[f34]) ).
fof(f41,plain,
! [X0,X1] :
( vsucc(X1) != vsucc(X0)
| X0 = X1 ),
inference(ennf_transformation,[],[f36]) ).
fof(f51,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,[],[f31]) ).
fof(f15,axiom,
! [X10,X11] : vplus(X11,X10) = vplus(X10,X11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof(f66,plain,
! [X0,X1] : vplus(vmul(X0,X1),X0) = vmul(X0,vplus(v1,X1)),
inference(definition_unfolding,[],[f51,f55]) ).
fof(f29,plain,
! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
inference(rectify,[],[f15]) ).
fof(f16,axiom,
! [X12,X13] : vplus(vsucc(X12),X13) = vsucc(vplus(X12,X13)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(52, 0), 0)') ).
fof(f53,plain,
! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
inference(cnf_transformation,[],[f29]) ).
fof(f30,plain,
! [X0,X1] : vplus(vsucc(X0),X1) = vsucc(vplus(X0,X1)),
inference(rectify,[],[f16]) ).
fof(f54,plain,
! [X0,X1] : vplus(vsucc(X0),X1) = vsucc(vplus(X0,X1)),
inference(cnf_transformation,[],[f30]) ).
fof(f18,axiom,
! [X15,X16,X17] : vplus(vplus(X15,X16),X17) = vplus(X15,vplus(X16,X17)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(33, 0), 0)') ).
fof(f67,plain,
! [X0,X1] : vplus(vplus(v1,X0),X1) = vplus(v1,vplus(X0,X1)),
inference(definition_unfolding,[],[f54,f55,f55]) ).
fof(f32,plain,
! [X0,X1,X2] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(rectify,[],[f18]) ).
fof(f56,plain,
! [X2,X0,X1] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f32]) ).
fof(f57,plain,
! [X0,X1] : vsucc(vplus(X0,X1)) = vplus(X0,vsucc(X1)),
inference(cnf_transformation,[],[f33]) ).
fof(f20,axiom,
! [X20] :
( v1 != X20
=> vsucc(vskolem2(X20)) = X20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(20, 0), 0)') ).
fof(f69,plain,
! [X0,X1] : vplus(v1,vplus(X0,X1)) = vplus(X0,vplus(v1,X1)),
inference(definition_unfolding,[],[f57,f55,f55]) ).
fof(f58,plain,
! [X0] : vsucc(X0) = vplus(X0,v1),
inference(cnf_transformation,[],[f33]) ).
fof(f19,axiom,
! [X18,X19] :
( vplus(X18,v1) = vsucc(X18)
& vplus(X18,vsucc(X19)) = vsucc(vplus(X18,X19)) ),
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(f68,plain,
! [X0] : vplus(v1,X0) = vplus(X0,v1),
inference(definition_unfolding,[],[f58,f55]) ).
fof(f59,plain,
! [X0] :
( vsucc(vskolem2(X0)) = X0
| v1 = X0 ),
inference(cnf_transformation,[],[f40]) ).
fof(f21,axiom,
! [X21] : vsucc(X21) != X21,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(12, 0), 0)') ).
fof(f70,plain,
! [X0] :
( vplus(v1,vskolem2(X0)) = X0
| v1 = X0 ),
inference(definition_unfolding,[],[f59,f55]) ).
fof(f60,plain,
! [X0] : vsucc(X0) != X0,
inference(cnf_transformation,[],[f35]) ).
fof(f22,axiom,
! [X22,X23] :
( X22 != X23
=> vsucc(X22) != vsucc(X23) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(6, 0), 0)') ).
fof(f71,plain,
! [X0] : vplus(v1,X0) != X0,
inference(definition_unfolding,[],[f60,f55]) ).
cnf(c_62,plain,
vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f56]) ).
cnf(c_80,negated_conjecture,
vplus(vd436,vplus(vmul(vd436,vd437),vmul(vd436,vd439))) != vplus(vd436,vmul(vd436,vplus(vd437,vd439))),
inference(theory_normalisation,[status(thm)],[c_49,c_62,c_60]) ).
cnf(c_120,plain,
$false,
inference(ac_demodulation,[status(thm)],[c_80,c_52,c_62,c_60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM846+2 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n005.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % 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 : Fri Aug 25 09:24:38 EDT 2023
% 0.14/0.35 % 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
% 0.48/1.17 % SZS status Started for theBenchmark.p
% 0.48/1.17 % SZS status Theorem for theBenchmark.p
% 0.48/1.17
% 0.48/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.48/1.17
% 0.48/1.17 ------ iProver source info
% 0.48/1.17
% 0.48/1.17 git: date: 2023-05-31 18:12:56 +0000
% 0.48/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.48/1.17 git: non_committed_changes: false
% 0.48/1.17 git: last_make_outside_of_git: false
% 0.48/1.17
% 0.48/1.17 ------ Parsing...
% 0.48/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.48/1.17
% 0.48/1.17 ------ Preprocessing...
% 0.48/1.17
% 0.48/1.17 % SZS status Theorem for theBenchmark.p
% 0.48/1.17
% 0.48/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.48/1.17
% 0.48/1.17
%------------------------------------------------------------------------------