%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : COM144+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 3.14s 1.15s
% Output : CNFRefutation 3.14s
% 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 : 9 ( 5 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 : 10 ( 10 usr; 7 con; 0-3 aty)
% Number of variables : 53 ( 0 sgn 43 !; 10 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
fof(f38,axiom,
! [X0] : vnoExp != vsomeExp(X0),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-noExp-someExp') ).
fof(f43,axiom,
! [X0,X1,X2,X3,X4] :
( X3 = vabs(X0,X1,X2)
=> ( X4 = vreduce(X3)
=> X4 = vnoExp ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',reduce1) ).
fof(f60,conjecture,
! [X0,X1,X2,X3,X4] :
( ( vtcheck(X2,vabs(X0,X1,ve1),X4)
& vreduce(vabs(X0,X1,ve1)) = vsomeExp(X3) )
=> vtcheck(X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Preservation-T-abs') ).
fof(f61,negated_conjecture,
~ ! [X0,X1,X2,X3,X4] :
( ( vtcheck(X2,vabs(X0,X1,ve1),X4)
& vreduce(vabs(X0,X1,ve1)) = vsomeExp(X3) )
=> vtcheck(X2,X3,X4) ),
inference(negated_conjecture,[status(cth)],[f60]) ).
fof(f124,plain,
! [X0,X1,X2,X3,X4] :
( vabs(X0,X1,X2) != X3
| vreduce(X3) != X4
| X4 = vnoExp ),
inference(ennf_transformation,[],[f43]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4] :
( vabs(X0,X1,X2) != X3
| vreduce(X3) != X4
| X4 = vnoExp ),
inference(flattening,[],[f124]) ).
fof(f156,plain,
? [X0,X1,X2,X3,X4] :
( vtcheck(X2,vabs(X0,X1,ve1),X4)
& vreduce(vabs(X0,X1,ve1)) = vsomeExp(X3)
& ~ vtcheck(X2,X3,X4) ),
inference(ennf_transformation,[],[f61]) ).
fof(f157,plain,
? [X0,X1,X2,X3,X4] :
( vtcheck(X2,vabs(X0,X1,ve1),X4)
& vreduce(vabs(X0,X1,ve1)) = vsomeExp(X3)
& ~ vtcheck(X2,X3,X4) ),
inference(flattening,[],[f156]) ).
fof(f220,plain,
( vtcheck(sK89,vabs(sK87,sK88,ve1),sK91)
& vreduce(vabs(sK87,sK88,ve1)) = vsomeExp(sK90)
& ~ vtcheck(sK89,sK90,sK91) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK87,sK88,sK89,sK90,sK91]),skolemize(X0,sK87),skolemize(X1,sK88),skolemize(X2,sK89),skolemize(X3,sK90),skolemize(X4,sK91)],[f157]) ).
fof(f315,plain,
! [X0] : vnoExp != vsomeExp(X0),
inference(cnf_transformation,[],[f38]) ).
fof(f320,plain,
! [X2,X3,X0,X1,X4] :
( vabs(X0,X1,X2) != X3
| vreduce(X3) != X4
| vnoExp = X4 ),
inference(cnf_transformation,[],[f125]) ).
fof(f375,plain,
vreduce(vabs(sK87,sK88,ve1)) = vsomeExp(sK90),
inference(cnf_transformation,[],[f220]) ).
fof(f465,plain,
! [X2,X3,X0,X1] :
( vabs(X0,X1,X2) != X3
| vnoExp = vreduce(X3) ),
inference(equality_resolution,[],[f320]) ).
fof(f466,plain,
! [X2,X0,X1] : vnoExp = vreduce(vabs(X0,X1,X2)),
inference(equality_resolution,[],[f465]) ).
tcf(c_134,plain,
! [X0: $i] : vsomeExp(X0) != vnoExp,
inference(cnf_transformation,[],[f315]) ).
tcf(c_139,plain,
! [X0: $i,X1: $i,X2: $i] : vreduce(vabs(X0,X1,X2)) = vnoExp,
inference(cnf_transformation,[],[f466]) ).
tcf(c_193,negated_conjecture,
vreduce(vabs(sK87,sK88,ve1)) = vsomeExp(sK90),
inference(cnf_transformation,[],[f375]) ).
tcf(c_974,plain,
vsomeExp(sK90) = vnoExp,
inference(demodulation,[status(thm)],[c_193,c_139]) ).
tcf(c_975,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_974,c_134]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM144+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.07/0.34 % Computer : n019.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Fri Sep 25 07:55:05 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.34 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.38 Running first-order theorem proving
% 0.13/0.38 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
% 0.13/0.39
% 0.13/0.39 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.39
% 0.13/0.39 % Detected problem language: tptp
% 0.13/0.40 % Proving...
% 3.14/1.15 % SZS status Started for theBenchmark.p
% 3.14/1.15 % SZS status Theorem for theBenchmark.p
% 3.14/1.15
% 3.14/1.15 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.14/1.15
% 3.14/1.15 % ------ iProver source info
% 3.14/1.15
% 3.14/1.15 % git: date: 2026-07-19 20:42:38 +0200
% 3.14/1.15 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.14/1.15 % git: non_committed_changes: false
% 3.14/1.15
% 3.14/1.15 % ------ Parsing...
% 3.14/1.15 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.14/1.15
% 3.14/1.15 % ------ Preprocessing...%
% 3.14/1.15
% 3.14/1.15 % SZS status Theorem for theBenchmark.p
% 3.14/1.15
% 3.14/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.14/1.15
% 3.14/1.15
%------------------------------------------------------------------------------