%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN554-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n002.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 03:41:04 PM UTC 2026
% Result : Unsatisfiable 1.89s 1.06s
% Output : CNFRefutation 1.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 42 ( 18 unt; 2 def)
% Number of atoms : 115 ( 2 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 74 ( 35 ~; 39 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 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 : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 48 ( 0 sgn 48 !; 0 ?; 35 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).
fof(f2,negated_conjecture,
! [X0] : ~ p4(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p4_2) ).
fof(f3,negated_conjecture,
~ p2(c6,c7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_3) ).
fof(f4,negated_conjecture,
p2(f3(c5,c6),f3(c5,c7)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
fof(f5,negated_conjecture,
! [X0,X1] :
( p4(X1,X0)
| p4(X0,X1)
| p2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_5) ).
fof(f6,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(X2,X0)
| ~ p2(X2,X1)
| p2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_6) ).
fof(f7,negated_conjecture,
! [X0,X1] :
( ~ p4(X0,X1)
| p4(f3(c5,X0),f3(c5,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_7) ).
fof(f8,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p2(X3,X0)
| ~ p4(X3,X2)
| ~ p2(X2,X1)
| p4(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_8) ).
tcf(c_58,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_59,negated_conjecture,
! [X0: $i] : ~ p4(X0,X0),
inference(cnf_transformation,[],[f2]) ).
tcf(c_60,negated_conjecture,
~ p2(c6,c7),
inference(cnf_transformation,[],[f3]) ).
tcf(c_61,negated_conjecture,
p2(f3(c5,c6),f3(c5,c7)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_62,negated_conjecture,
! [X0: $i,X1: $i] :
( p4(X1,X0)
| p4(X0,X1)
| p2(X0,X1) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_63,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p2(X1,X2)
| ~ p2(X0,X2)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_64,negated_conjecture,
! [X0: $i,X1: $i] :
( p4(f3(c5,X0),f3(c5,X1))
| ~ p4(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_65,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p4(X3,X1)
| ~ p4(X2,X0)
| ~ p2(X2,X3)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_108,definition,
iPr_def_10 = f3(c5,c6),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_109,definition,
iPr_def_11 = f3(c5,c7),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_111,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p4(X3,X1)
| ~ p4(X2,X0)
| ~ p2(X2,X3)
| ~ p2(X0,X1) ),
inference(demodulation,[status(thm)],[c_65]) ).
tcf(c_112,negated_conjecture,
! [X0: $i,X1: $i] :
( p4(f3(c5,X0),f3(c5,X1))
| ~ p4(X0,X1) ),
inference(demodulation,[status(thm)],[c_64]) ).
tcf(c_113,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p2(X1,X2)
| ~ p2(X0,X2)
| ~ p2(X0,X1) ),
inference(demodulation,[status(thm)],[c_63]) ).
tcf(c_114,negated_conjecture,
! [X0: $i,X1: $i] :
( p4(X1,X0)
| p4(X0,X1)
| p2(X0,X1) ),
inference(demodulation,[status(thm)],[c_62]) ).
tcf(c_115,negated_conjecture,
p2(iPr_def_10,iPr_def_11),
inference(demodulation,[status(thm)],[c_61,c_109,c_108]) ).
tcf(c_116,negated_conjecture,
~ p2(c6,c7),
inference(demodulation,[status(thm)],[c_60]) ).
tcf(c_117,negated_conjecture,
! [X0: $i] : ~ p4(X0,X0),
inference(demodulation,[status(thm)],[c_59]) ).
tcf(c_118,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(demodulation,[status(thm)],[c_58]) ).
tcf(c_293,plain,
! [X0: $i] :
( p2(iPr_def_11,X0)
| ~ p2(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_115,c_113]) ).
tcf(c_312,plain,
p2(iPr_def_11,iPr_def_10),
inference(superposition,[status(thm)],[c_118,c_293]) ).
tcf(c_314,plain,
! [X0: $i] :
( p4(iPr_def_10,f3(c5,X0))
| ~ p4(c6,X0) ),
inference(superposition,[status(thm)],[c_108,c_112]) ).
tcf(c_315,plain,
! [X0: $i] :
( p4(f3(c5,X0),iPr_def_10)
| ~ p4(X0,c6) ),
inference(superposition,[status(thm)],[c_108,c_112]) ).
tcf(c_358,plain,
! [X0: $i,X1: $i,X2: $i] :
( p4(X1,X2)
| ~ p4(X0,X2)
| ~ p2(X0,X1) ),
inference(superposition,[status(thm)],[c_118,c_111]) ).
tcf(c_360,plain,
! [X0: $i,X1: $i] :
( p4(X1,iPr_def_11)
| ~ p4(X0,iPr_def_10)
| ~ p2(X0,X1) ),
inference(superposition,[status(thm)],[c_115,c_111]) ).
tcf(c_395,plain,
( p4(iPr_def_10,iPr_def_11)
| ~ p4(c6,c7) ),
inference(superposition,[status(thm)],[c_109,c_314]) ).
tcf(c_402,plain,
( p4(iPr_def_10,iPr_def_11)
| p4(c7,c6)
| p2(c6,c7) ),
inference(superposition,[status(thm)],[c_114,c_395]) ).
tcf(c_407,plain,
( p4(iPr_def_10,iPr_def_11)
| p4(c7,c6) ),
inference(forward_subsumption_resolution,[status(thm)],[c_402,c_116]) ).
tcf(c_420,plain,
( p4(iPr_def_11,iPr_def_10)
| ~ p4(c7,c6) ),
inference(superposition,[status(thm)],[c_109,c_315]) ).
tcf(c_443,plain,
! [X0: $i] :
( p4(iPr_def_11,X0)
| ~ p4(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_115,c_358]) ).
tcf(c_513,plain,
( p4(iPr_def_10,iPr_def_11)
| ~ p4(iPr_def_11,iPr_def_10) ),
inference(superposition,[status(thm)],[c_312,c_360]) ).
tcf(c_564,plain,
( p4(iPr_def_11,iPr_def_10)
| p4(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_407,c_420]) ).
tcf(c_661,plain,
p4(iPr_def_10,iPr_def_11),
inference(global_subsumption_just,[status(thm)],[c_564,c_513,c_564]) ).
tcf(c_663,plain,
p4(iPr_def_11,iPr_def_11),
inference(superposition,[status(thm)],[c_661,c_443]) ).
tcf(c_664,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_663,c_117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN554-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n002.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 01:46:34 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.41 % Proving...
% 1.89/1.06 % SZS status Started for theBenchmark.p
% 1.89/1.06 % SZS status Unsatisfiable for theBenchmark.p
% 1.89/1.06
% 1.89/1.06 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.89/1.06
% 1.89/1.06 % ------ iProver source info
% 1.89/1.06
% 1.89/1.06 % git: date: 2026-07-19 20:42:38 +0200
% 1.89/1.06 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.89/1.06 % git: non_committed_changes: false
% 1.89/1.06
% 1.89/1.06 % ------ Parsing...% successful
% 1.89/1.06
% 1.89/1.06
% 1.89/1.06 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.89/1.06
% 1.89/1.06 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.89/1.06
% 1.89/1.06 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.89/1.06
% 1.89/1.06 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.89/1.06 % ------ Proving...
% 1.89/1.06 % ------ Problem Properties
% 1.89/1.06
% 1.89/1.06 %
% 1.89/1.06 % clauses 11
% 1.89/1.06 % conjectures 9
% 1.89/1.06 % EPR 7
% 1.89/1.06 % Horn 10
% 1.89/1.06 % unary 6
% 1.89/1.06 % binary 1
% 1.89/1.06 % lits 21
% 1.89/1.06 % lits eq 2
% 1.89/1.06 % fd_pure 0
% 1.89/1.06 % fd_pseudo 0
% 1.89/1.06 % fd_cond 0
% 1.89/1.06 % fd_pseudo_cond 0
% 1.89/1.06 % AC symbols 0
% 1.89/1.06
% 1.89/1.06 % ------ Schedule dynamic 5 is on
% 1.89/1.06
% 1.89/1.06 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.89/1.06
% 1.89/1.06
% 1.89/1.06 % ------
% 1.89/1.06 % Current options:
% 1.89/1.06 % ------
% 1.89/1.06
% 1.89/1.06
% 1.89/1.06 %
% 1.89/1.06
% 1.89/1.06 % ------ Proving...
% 1.89/1.06 %
% 1.89/1.06
% 1.89/1.06 % SZS status Unsatisfiable for theBenchmark.p
% 1.89/1.06
% 1.89/1.06 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.89/1.06
% 1.89/1.06
%------------------------------------------------------------------------------