%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWW431-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n026.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 03:29:40 PM UTC 2026
% Result : Unsatisfiable 4.40s 6.61s
% Output : CNFRefutation 4.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 14 unt; 0 def)
% Number of atoms : 28 ( 18 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 6 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 14 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn 28 !; 0 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',associative_commutative) ).
fof(f2,axiom,
! [X0,X1] : sep(lseg(X0,X0),X1) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',normalization) ).
fof(f8,axiom,
! [X2,X3,X0,X1] :
( X0 = X2
| X0 = X1
| ~ heap(sep(lseg(X0,X1),sep(lseg(X0,X2),X3))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',wellformedness_5) ).
fof(f21,axiom,
x7 != x11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_7) ).
fof(f31,axiom,
heap(sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x1,x11),sep(lseg(x4,x9),sep(lseg(x2,x9),sep(lseg(x12,x7),sep(lseg(x9,x2),sep(lseg(x7,x10),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_13) ).
tcf(c_74,plain,
! [X0: $i,X1: $i,X2: $i] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] : sep(lseg(X0,X0),X1) = X1,
inference(cnf_transformation,[],[f2]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ( X0 = X1 )
| ~ heap(sep(lseg(X0,X1),sep(lseg(X0,X2),X3))) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_91,plain,
x7 != x11,
inference(cnf_transformation,[],[f21]) ).
tcf(c_97,plain,
heap(sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x13,x8),sep(lseg(x1,x11),sep(lseg(x4,x9),sep(lseg(x2,x9),sep(lseg(x12,x7),sep(lseg(x9,x2),sep(lseg(x7,x10),sep(lseg(x11,x12),sep(lseg(x11,x7),sep(lseg(x11,x1),emp))))))))))))),
inference(cnf_transformation,[],[f31]) ).
tcf(c_208,plain,
heap(sep(lseg(x7,x10),sep(lseg(x11,x7),sep(lseg(x11,x12),sep(lseg(x11,x1),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x12,x7),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x1,x11),sep(lseg(x13,x8),sep(lseg(x4,x9),emp))))))))))))),
inference(demodulation,[status(thm)],[c_97,c_74]) ).
tcf(c_556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X3 )
| ( X0 = X1 )
| ~ heap(sep(lseg(X0,X1),sep(X2,sep(lseg(X0,X3),X4)))) ),
inference(superposition,[status(thm)],[c_74,c_80]) ).
tcf(c_1240,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X3 )
| ( X1 = X2 )
| ~ heap(sep(X0,sep(lseg(X1,X2),sep(lseg(X1,X3),X4)))) ),
inference(superposition,[status(thm)],[c_74,c_556]) ).
tcf(c_1783,plain,
( ( x7 = x11 )
| ( x12 = x11 ) ),
inference(superposition,[status(thm)],[c_208,c_1240]) ).
tcf(c_1793,plain,
x12 = x11,
inference(forward_subsumption_resolution,[status(thm)],[c_1783,c_91]) ).
tcf(c_1797,plain,
heap(sep(lseg(x7,x10),sep(lseg(x11,x7),sep(lseg(x11,x11),sep(lseg(x11,x1),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x11,x7),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x1,x11),sep(lseg(x13,x8),sep(lseg(x4,x9),emp))))))))))))),
inference(demodulation,[status(thm)],[c_208,c_1793]) ).
tcf(c_4998,plain,
heap(sep(lseg(x7,x10),sep(lseg(x11,x7),sep(lseg(x11,x7),sep(lseg(x11,x1),sep(lseg(x2,x9),sep(lseg(x9,x2),sep(lseg(x5,x3),sep(lseg(x10,x8),sep(lseg(x1,x11),sep(lseg(x13,x8),sep(lseg(x4,x9),emp)))))))))))),
inference(demodulation,[status(thm)],[c_1797,c_74,c_75]) ).
tcf(c_5022,plain,
x7 = x11,
inference(superposition,[status(thm)],[c_4998,c_1240]) ).
tcf(c_5043,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5022,c_91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW431-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/5.63 % Computer : n026.cluster.edu
% 0.13/5.63 % Model : x86_64 x86_64
% 0.13/5.63 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.63 % Memory : 8046.5625MB
% 0.13/5.63 % OS : Linux 6.8.0-71-generic
% 0.13/5.63 % CPULimit : 300
% 0.13/5.63 % WCLimit : 300
% 0.13/5.63 % DateTime : Thu Sep 24 22:24:16 UTC 2026
% 0.13/5.63 % CPUTime :
% 0.13/5.63 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/5.69 Running first-order theorem proving
% 0.13/5.69 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
% 0.18/5.71
% 0.18/5.71 % ======== iProver multi-core TPTP/SMT =========
% 0.18/5.71
% 0.18/5.71 % Detected problem language: tptp
% 0.18/5.72 % Proving...
% 4.40/6.61 % SZS status Started for theBenchmark.p
% 4.40/6.61 % SZS status Unsatisfiable for theBenchmark.p
% 4.40/6.61
% 4.40/6.61 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.40/6.61
% 4.40/6.61 % ------ iProver source info
% 4.40/6.61
% 4.40/6.61 % git: date: 2026-07-19 20:42:38 +0200
% 4.40/6.61 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.40/6.61 % git: non_committed_changes: false
% 4.40/6.61
% 4.40/6.61 % ------ Parsing...% successful
% 4.40/6.61
% 4.40/6.61
% 4.40/6.61 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.40/6.61
% 4.40/6.61 % ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe_e %
% 4.40/6.61
% 4.40/6.61 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.40/6.61
% 4.40/6.61 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.40/6.61 % ------ Proving...
% 4.40/6.61 % ------ Problem Properties
% 4.40/6.61
% 4.40/6.61 %
% 4.40/6.61 % clauses 24
% 4.40/6.61 % conjectures 0
% 4.40/6.61 % EPR 12
% 4.40/6.61 % Horn 21
% 4.40/6.61 % unary 17
% 4.40/6.61 % binary 4
% 4.40/6.61 % lits 34
% 4.40/6.61 % lits eq 20
% 4.40/6.61 % fd_pure 0
% 4.40/6.61 % fd_pseudo 0
% 4.40/6.61 % fd_cond 1
% 4.40/6.61 % fd_pseudo_cond 4
% 4.40/6.61 % AC symbols 0
% 4.40/6.61
% 4.40/6.61 % ------ Schedule dynamic 5 is on
% 4.40/6.61
% 4.40/6.61 % ------ no conjectures: strip conj schedule
% 4.40/6.61
% 4.40/6.61 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 4.40/6.61
% 4.40/6.61
% 4.40/6.61 % ------
% 4.40/6.61 % Current options:
% 4.40/6.61 % ------
% 4.40/6.61
% 4.40/6.61
% 4.40/6.61 %
% 4.40/6.61
% 4.40/6.61 % ------ Proving...
% 4.40/6.61 %
% 4.40/6.61
% 4.40/6.61 % SZS status Unsatisfiable for theBenchmark.p
% 4.40/6.61
% 4.40/6.61 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.40/6.61
% 4.40/6.61
%------------------------------------------------------------------------------