%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : COM146+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:04:30 PM UTC 2026
% Result : Theorem 3.28s 1.28s
% Output : CNFRefutation 3.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 9 unt; 0 def)
% Number of atoms : 38 ( 27 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 33 ( 14 ~; 7 |; 8 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-1 aty)
% Number of variables : 35 ( 0 sgn 27 !; 8 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
fof(f38,axiom,
! [X0] : vnoExp != vsomeExp(X0),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-noExp-someExp') ).
fof(f42,axiom,
! [X0,X1,X2] :
( X1 = vvar(X0)
=> ( X2 = vreduce(X1)
=> X2 = vnoExp ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',reduce0) ).
fof(f59,conjecture,
! [X0,X1,X2,X3] :
( ( vtcheck(X1,vvar(X0),X3)
& vreduce(vvar(X0)) = vsomeExp(X2) )
=> vtcheck(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Preservation-T-var') ).
fof(f60,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( vtcheck(X1,vvar(X0),X3)
& vreduce(vvar(X0)) = vsomeExp(X2) )
=> vtcheck(X1,X2,X3) ),
inference(negated_conjecture,[status(cth)],[f59]) ).
fof(f121,plain,
! [X0,X1,X2] :
( vvar(X0) != X1
| vreduce(X1) != X2
| X2 = vnoExp ),
inference(ennf_transformation,[],[f42]) ).
fof(f122,plain,
! [X0,X1,X2] :
( vvar(X0) != X1
| vreduce(X1) != X2
| X2 = vnoExp ),
inference(flattening,[],[f121]) ).
fof(f153,plain,
? [X0,X1,X2,X3] :
( vtcheck(X1,vvar(X0),X3)
& vreduce(vvar(X0)) = vsomeExp(X2)
& ~ vtcheck(X1,X2,X3) ),
inference(ennf_transformation,[],[f60]) ).
fof(f154,plain,
? [X0,X1,X2,X3] :
( vtcheck(X1,vvar(X0),X3)
& vreduce(vvar(X0)) = vsomeExp(X2)
& ~ vtcheck(X1,X2,X3) ),
inference(flattening,[],[f153]) ).
fof(f217,plain,
( vtcheck(sK88,vvar(sK87),sK90)
& vsomeExp(sK89) = vreduce(vvar(sK87))
& ~ vtcheck(sK88,sK89,sK90) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK87,sK88,sK89,sK90]),skolemize(X0,sK87),skolemize(X1,sK88),skolemize(X2,sK89),skolemize(X3,sK90)],[f154]) ).
fof(f312,plain,
! [X0] : vnoExp != vsomeExp(X0),
inference(cnf_transformation,[],[f38]) ).
fof(f316,plain,
! [X2,X0,X1] :
( vvar(X0) != X1
| vreduce(X1) != X2
| vnoExp = X2 ),
inference(cnf_transformation,[],[f122]) ).
fof(f371,plain,
vsomeExp(sK89) = vreduce(vvar(sK87)),
inference(cnf_transformation,[],[f217]) ).
fof(f459,plain,
! [X0,X1] :
( vvar(X0) != X1
| vnoExp = vreduce(X1) ),
inference(equality_resolution,[],[f316]) ).
fof(f460,plain,
! [X0] : vnoExp = vreduce(vvar(X0)),
inference(equality_resolution,[],[f459]) ).
tcf(c_134,plain,
! [X0: $i] : vsomeExp(X0) != vnoExp,
inference(cnf_transformation,[],[f312]) ).
tcf(c_138,plain,
! [X0: $i] : vreduce(vvar(X0)) = vnoExp,
inference(cnf_transformation,[],[f460]) ).
tcf(c_192,negated_conjecture,
vreduce(vvar(sK87)) = vsomeExp(sK89),
inference(cnf_transformation,[],[f371]) ).
tcf(c_948,plain,
vsomeExp(sK89) = vnoExp,
inference(demodulation,[status(thm)],[c_192,c_138]) ).
tcf(c_949,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_948,c_134]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COM146+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.36 % Computer : n019.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Fri Sep 25 07:54:50 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.42
% 0.12/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.42
% 0.12/0.42 % Detected problem language: tptp
% 0.12/0.43 % Proving...
% 3.28/1.28 % SZS status Started for theBenchmark.p
% 3.28/1.28 % SZS status Theorem for theBenchmark.p
% 3.28/1.28
% 3.28/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.28/1.28
% 3.28/1.28 % ------ iProver source info
% 3.28/1.28
% 3.28/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 3.28/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.28/1.28 % git: non_committed_changes: false
% 3.28/1.28
% 3.28/1.28 % ------ Parsing...
% 3.28/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.28/1.28
% 3.28/1.28 % ------ Preprocessing...%
% 3.28/1.28
% 3.28/1.28 % SZS status Theorem for theBenchmark.p
% 3.28/1.28
% 3.28/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.28/1.28
% 3.28/1.28
%------------------------------------------------------------------------------