%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : COM141+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n011.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 4.46s 26.37s
% Output : CNFRefutation 4.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 30 ( 11 unt; 0 def)
% Number of atoms : 75 ( 30 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 78 ( 33 ~; 29 |; 12 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 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 : 11 ( 11 usr; 8 con; 0-3 aty)
% Number of variables : 95 ( 0 sgn 83 !; 12 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
fof(f56,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( vtcheck(X2,vabs(X3,X4,veabs),X5)
& vlookup(X0,X2) = vnoType
& X0 != X3 )
=> vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-abs-1') ).
fof(f57,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( vtcheck(X2,vabs(X3,X4,veabs),X5)
& vlookup(X0,X2) = vnoType
& X0 = X3 )
=> vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-abs-2') ).
fof(f58,conjecture,
! [X0,X1,X2,X3,X4,X5] :
( ( vtcheck(X2,vabs(X3,X4,veabs),X5)
& vlookup(X0,X2) = vnoType )
=> vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-abs') ).
fof(f59,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( vtcheck(X2,vabs(X3,X4,veabs),X5)
& vlookup(X0,X2) = vnoType )
=> vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
inference(negated_conjecture,[status(cth)],[f58]) ).
fof(f63,plain,
? [X0,X1,X2,X3,X4,X5] :
( vtcheck(X2,vabs(X3,X4,veabs),X5)
& vlookup(X0,X2) = vnoType
& ~ vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
inference(ennf_transformation,[],[f59]) ).
fof(f64,plain,
? [X0,X1,X2,X3,X4,X5] :
( vtcheck(X2,vabs(X3,X4,veabs),X5)
& vlookup(X0,X2) = vnoType
& ~ vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
inference(flattening,[],[f63]) ).
fof(f78,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
| vnoType != vlookup(X0,X2)
| X0 != X3
| vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
inference(ennf_transformation,[],[f57]) ).
fof(f79,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
| vnoType != vlookup(X0,X2)
| X0 != X3
| vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
inference(flattening,[],[f78]) ).
fof(f80,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
| vnoType != vlookup(X0,X2)
| X0 = X3
| vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
inference(ennf_transformation,[],[f56]) ).
fof(f81,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
| vnoType != vlookup(X0,X2)
| X0 = X3
| vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
inference(flattening,[],[f80]) ).
fof(f134,plain,
( vtcheck(sK7,vabs(sK8,sK9,veabs),sK10)
& vnoType = vlookup(sK5,sK7)
& ~ vtcheck(vbind(sK5,sK6,sK7),vabs(sK8,sK9,veabs),sK10) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8,sK9,sK10]),skolemize(X0,sK5),skolemize(X1,sK6),skolemize(X2,sK7),skolemize(X3,sK8),skolemize(X4,sK9),skolemize(X5,sK10)],[f64]) ).
fof(f153,plain,
vtcheck(sK7,vabs(sK8,sK9,veabs),sK10),
inference(cnf_transformation,[],[f134]) ).
fof(f154,plain,
vnoType = vlookup(sK5,sK7),
inference(cnf_transformation,[],[f134]) ).
fof(f155,plain,
~ vtcheck(vbind(sK5,sK6,sK7),vabs(sK8,sK9,veabs),sK10),
inference(cnf_transformation,[],[f134]) ).
fof(f172,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
| vnoType != vlookup(X0,X2)
| X0 != X3
| vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
inference(cnf_transformation,[],[f79]) ).
fof(f173,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
| vnoType != vlookup(X0,X2)
| X0 = X3
| vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
inference(cnf_transformation,[],[f81]) ).
fof(f256,plain,
! [X2,X3,X1,X4,X5] :
( ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
| vnoType != vlookup(X3,X2)
| vtcheck(vbind(X3,X1,X2),vabs(X3,X4,veabs),X5) ),
inference(equality_resolution,[],[f172]) ).
tcf(c_49,negated_conjecture,
~ vtcheck(vbind(sK5,sK6,sK7),vabs(sK8,sK9,veabs),sK10),
inference(cnf_transformation,[],[f155]) ).
tcf(c_50,negated_conjecture,
vlookup(sK5,sK7) = vnoType,
inference(cnf_transformation,[],[f154]) ).
tcf(c_51,negated_conjecture,
vtcheck(sK7,vabs(sK8,sK9,veabs),sK10),
inference(cnf_transformation,[],[f153]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( vtcheck(vbind(X0,X4,X1),vabs(X0,X2,veabs),X3)
| ~ vtcheck(X1,vabs(X0,X2,veabs),X3)
| ( vlookup(X0,X1) != vnoType ) ),
inference(cnf_transformation,[],[f256]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( vtcheck(vbind(X0,X5,X1),vabs(X2,X3,veabs),X4)
| ( X0 = X2 )
| ~ vtcheck(X1,vabs(X2,X3,veabs),X4)
| ( vlookup(X0,X1) != vnoType ) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_7423,plain,
! [X0: $i,X1: $i,X2: $i] :
( vtcheck(vbind(sK5,X2,sK7),vabs(sK5,X0,veabs),X1)
| ~ vtcheck(sK7,vabs(sK5,X0,veabs),X1) ),
inference(superposition,[status(thm)],[c_50,c_65]) ).
tcf(c_7480,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( vtcheck(vbind(sK5,X3,sK7),vabs(X0,X1,veabs),X2)
| ( X0 = sK5 )
| ~ vtcheck(sK7,vabs(X0,X1,veabs),X2) ),
inference(superposition,[status(thm)],[c_50,c_66]) ).
tcf(c_7574,plain,
( ( sK5 = sK8 )
| ~ vtcheck(sK7,vabs(sK8,sK9,veabs),sK10) ),
inference(superposition,[status(thm)],[c_7480,c_49]) ).
tcf(c_7575,plain,
sK5 = sK8,
inference(forward_subsumption_resolution,[status(thm)],[c_7574,c_51]) ).
tcf(c_7576,plain,
~ vtcheck(vbind(sK5,sK6,sK7),vabs(sK5,sK9,veabs),sK10),
inference(demodulation,[status(thm)],[c_49,c_7575]) ).
tcf(c_7577,plain,
vtcheck(sK7,vabs(sK5,sK9,veabs),sK10),
inference(demodulation,[status(thm)],[c_51,c_7575]) ).
tcf(c_7578,plain,
~ vtcheck(sK7,vabs(sK5,sK9,veabs),sK10),
inference(superposition,[status(thm)],[c_7423,c_7576]) ).
tcf(c_7580,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_7578,c_7577]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM141+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/25.44 % CPULimit : 300
% 0.09/25.44 % WCLimit : 300
% 0.09/25.44 % DateTime : Fri Sep 25 07:56:23 UTC 2026
% 0.09/25.45 % CPUTime :
% 0.09/25.45 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/25.48 Running first-order theorem proving
% 0.09/25.48 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/25.49
% 0.09/25.49 % ======== iProver multi-core TPTP/SMT =========
% 0.09/25.49
% 0.09/25.50 % Detected problem language: tptp
% 0.34/25.51 % Proving...
% 4.46/26.37 % SZS status Started for theBenchmark.p
% 4.46/26.37 % SZS status Theorem for theBenchmark.p
% 4.46/26.37
% 4.46/26.37 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.46/26.37
% 4.46/26.37 % ------ iProver source info
% 4.46/26.37
% 4.46/26.37 % git: date: 2026-07-19 20:42:38 +0200
% 4.46/26.37 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.46/26.37 % git: non_committed_changes: false
% 4.46/26.37
% 4.46/26.37 % ------ Parsing...
% 4.46/26.37 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.46/26.37
% 4.46/26.37 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 4.46/26.37
% 4.46/26.37 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.46/26.37
% 4.46/26.37 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.46/26.37 % ------ Proving...
% 4.46/26.37 % ------ Problem Properties
% 4.46/26.37
% 4.46/26.37 %
% 4.46/26.37 % clauses 79
% 4.46/26.37 % conjectures 3
% 4.46/26.37 % EPR 3
% 4.46/26.37 % Horn 66
% 4.46/26.37 % unary 22
% 4.46/26.37 % binary 44
% 4.46/26.37 % lits 155
% 4.46/26.37 % lits eq 76
% 4.46/26.37 % fd_pure 0
% 4.46/26.37 % fd_pseudo 0
% 4.46/26.37 % fd_cond 2
% 4.46/26.37 % fd_pseudo_cond 18
% 4.46/26.37 % AC symbols 0
% 4.46/26.37
% 4.46/26.37 % ------ Schedule dynamic 5 is on
% 4.46/26.37
% 4.46/26.37 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.46/26.37
% 4.46/26.37
% 4.46/26.37 % ------
% 4.46/26.37 % Current options:
% 4.46/26.37 % ------
% 4.46/26.37
% 4.46/26.37
% 4.46/26.37 %
% 4.46/26.37
% 4.46/26.37 % ------ Proving...
% 4.46/26.37 %
% 4.46/26.37
% 4.46/26.37 % SZS status Theorem for theBenchmark.p
% 4.46/26.37
% 4.46/26.37 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.46/26.37
% 4.46/26.37
%------------------------------------------------------------------------------