%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN710-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n018.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 03:41:26 PM UTC 2026
% Result : Unsatisfiable 1.61s 1.07s
% Output : CNFRefutation 1.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 45 ( 13 unt; 5 def)
% Number of atoms : 116 ( 5 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 71 ( 33 ~; 38 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 8 con; 0-2 aty)
% Number of variables : 61 ( 0 sgn 61 !; 0 ?; 47 :)
% Comments :
%------------------------------------------------------------------------------
fof(f25,negated_conjecture,
~ p33(f11(c46,c50),f9(c47,c43)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p33_25) ).
fof(f27,negated_conjecture,
! [X0,X1] :
( ~ p33(f18(c51,X1),X0)
| p36(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p36_27) ).
fof(f28,negated_conjecture,
! [X0,X1] :
( ~ p36(X1,X0)
| p33(f18(c51,X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p33_28) ).
fof(f50,negated_conjecture,
p33(f11(c46,f13(f16(c48,c49),c50)),f9(c47,c43)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p33_50) ).
fof(f72,negated_conjecture,
! [X0,X1] :
( p33(f18(c51,f20(f22(c52,X0),X1)),X0)
| p33(f11(c46,X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p33_72) ).
fof(f73,negated_conjecture,
! [X0,X1] :
( ~ p33(f18(c51,f20(f22(c52,X0),X1)),X1)
| p33(f11(c46,X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p33_73) ).
fof(f75,negated_conjecture,
! [X2,X0,X1] :
( ~ p33(f18(c51,X0),X2)
| p33(f18(c51,X0),f13(f16(c48,X1),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p33_75) ).
fof(f80,negated_conjecture,
! [X2,X0,X1] :
( ~ p33(f18(c51,X0),X2)
| ~ p33(f11(c46,X2),X1)
| p33(f18(c51,X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p33_80) ).
tcf(c_160,negated_conjecture,
~ p33(f11(c46,c50),f9(c47,c43)),
inference(cnf_transformation,[],[f25]) ).
tcf(c_162,negated_conjecture,
! [X0: $i,X1: $i] :
( p36(X1,X0)
| ~ p33(f18(c51,X0),X1) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_163,negated_conjecture,
! [X0: $i,X1: $i] :
( p33(f18(c51,X1),X0)
| ~ p36(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_185,negated_conjecture,
p33(f11(c46,f13(f16(c48,c49),c50)),f9(c47,c43)),
inference(cnf_transformation,[],[f50]) ).
tcf(c_207,negated_conjecture,
! [X0: $i,X1: $i] :
( p33(f11(c46,X0),X1)
| p33(f18(c51,f20(f22(c52,X0),X1)),X0) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_208,negated_conjecture,
! [X0: $i,X1: $i] :
( p33(f11(c46,X0),X1)
| ~ p33(f18(c51,f20(f22(c52,X0),X1)),X1) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_210,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p33(f18(c51,X0),f13(f16(c48,X2),X1))
| ~ p33(f18(c51,X0),X1) ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_215,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p33(f18(c51,X2),X1)
| ~ p33(f18(c51,X2),X0)
| ~ p33(f11(c46,X0),X1) ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_973,definition,
iPr_def_17 = f16(c48,c49),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_974,definition,
iPr_def_18 = f13(iPr_def_17,c50),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_975,definition,
iPr_def_19 = f11(c46,iPr_def_18),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_976,definition,
iPr_def_20 = f9(c47,c43),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_977,definition,
iPr_def_21 = f11(c46,c50),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_985,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p33(f18(c51,X2),X1)
| ~ p33(f18(c51,X2),X0)
| ~ p33(f11(c46,X0),X1) ),
inference(demodulation,[status(thm)],[c_215]) ).
tcf(c_990,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p33(f18(c51,X0),f13(f16(c48,X2),X1))
| ~ p33(f18(c51,X0),X1) ),
inference(demodulation,[status(thm)],[c_210]) ).
tcf(c_991,negated_conjecture,
! [X0: $i,X1: $i] :
( p33(f11(c46,X0),X1)
| ~ p33(f18(c51,f20(f22(c52,X0),X1)),X1) ),
inference(demodulation,[status(thm)],[c_208]) ).
tcf(c_992,negated_conjecture,
! [X0: $i,X1: $i] :
( p33(f11(c46,X0),X1)
| p33(f18(c51,f20(f22(c52,X0),X1)),X0) ),
inference(demodulation,[status(thm)],[c_207]) ).
tcf(c_1009,negated_conjecture,
p33(iPr_def_19,iPr_def_20),
inference(demodulation,[status(thm)],[c_185,c_976,c_973,c_974,c_975]) ).
tcf(c_1025,negated_conjecture,
! [X0: $i,X1: $i] :
( p33(f18(c51,X1),X0)
| ~ p36(X0,X1) ),
inference(demodulation,[status(thm)],[c_163]) ).
tcf(c_1026,negated_conjecture,
! [X0: $i,X1: $i] :
( p36(X1,X0)
| ~ p33(f18(c51,X0),X1) ),
inference(demodulation,[status(thm)],[c_162]) ).
tcf(c_1027,negated_conjecture,
~ p33(iPr_def_21,iPr_def_20),
inference(demodulation,[status(thm)],[c_160,c_977]) ).
tcf(c_2073,plain,
! [X0: $i,X1: $i] :
( p33(f11(c46,X0),X1)
| p36(X0,f20(f22(c52,X0),X1)) ),
inference(superposition,[status(thm)],[c_992,c_1026]) ).
tcf(c_2081,plain,
! [X0: $i,X1: $i] :
( p33(f18(c51,X0),f13(iPr_def_17,X1))
| ~ p33(f18(c51,X0),X1) ),
inference(superposition,[status(thm)],[c_973,c_990]) ).
tcf(c_2120,plain,
! [X0: $i,X1: $i] :
( p33(f11(c46,X1),X0)
| ~ p36(X0,f20(f22(c52,X1),X0)) ),
inference(superposition,[status(thm)],[c_1025,c_991]) ).
tcf(c_2410,plain,
! [X0: $i,X1: $i] :
( p33(f18(c51,X0),X1)
| ~ p33(iPr_def_19,X1)
| ~ p33(f18(c51,X0),iPr_def_18) ),
inference(superposition,[status(thm)],[c_975,c_985]) ).
tcf(c_2566,plain,
! [X0: $i] :
( p33(f18(c51,X0),iPr_def_18)
| ~ p33(f18(c51,X0),c50) ),
inference(superposition,[status(thm)],[c_974,c_2081]) ).
tcf(c_2588,plain,
! [X0: $i] :
( p33(f18(c51,X0),iPr_def_18)
| ~ p36(c50,X0) ),
inference(superposition,[status(thm)],[c_1025,c_2566]) ).
tcf(c_2602,plain,
! [X0: $i] :
( p36(iPr_def_18,X0)
| ~ p36(c50,X0) ),
inference(superposition,[status(thm)],[c_2588,c_1026]) ).
tcf(c_2627,plain,
! [X0: $i] :
( p33(f11(c46,c50),X0)
| p36(iPr_def_18,f20(f22(c52,c50),X0)) ),
inference(superposition,[status(thm)],[c_2073,c_2602]) ).
tcf(c_2628,plain,
! [X0: $i] :
( p33(iPr_def_21,X0)
| p36(iPr_def_18,f20(f22(c52,c50),X0)) ),
inference(light_normalisation,[status(thm)],[c_2627,c_977]) ).
tcf(c_3366,plain,
! [X0: $i,X1: $i] :
( p33(f18(c51,X1),X0)
| ~ p36(iPr_def_18,X1)
| ~ p33(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_1025,c_2410]) ).
tcf(c_3433,plain,
! [X0: $i,X1: $i] :
( p36(X0,X1)
| ~ p36(iPr_def_18,X1)
| ~ p33(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_3366,c_1026]) ).
tcf(c_3487,plain,
! [X0: $i] :
( p36(iPr_def_20,X0)
| ~ p36(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_1009,c_3433]) ).
tcf(c_3502,plain,
! [X0: $i] :
( p33(iPr_def_21,X0)
| p36(iPr_def_20,f20(f22(c52,c50),X0)) ),
inference(superposition,[status(thm)],[c_2628,c_3487]) ).
tcf(c_4210,plain,
( p33(iPr_def_21,iPr_def_20)
| p33(f11(c46,c50),iPr_def_20) ),
inference(superposition,[status(thm)],[c_3502,c_2120]) ).
tcf(c_4211,plain,
p33(iPr_def_21,iPr_def_20),
inference(light_normalisation,[status(thm)],[c_4210,c_977]) ).
tcf(c_4212,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4211,c_1027]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN710-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n018.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Fri Sep 25 02:11:19 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.40 Running first-order theorem proving
% 0.08/0.40 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
% 0.08/0.41
% 0.08/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.41
% 0.08/0.41 % Detected problem language: tptp
% 0.08/0.42 % Proving...
% 1.61/1.07 % SZS status Started for theBenchmark.p
% 1.61/1.07 % SZS status Unsatisfiable for theBenchmark.p
% 1.61/1.07
% 1.61/1.07 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.61/1.07
% 1.61/1.07 % ------ iProver source info
% 1.61/1.07
% 1.61/1.07 % git: date: 2026-07-19 20:42:38 +0200
% 1.61/1.07 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.61/1.07 % git: non_committed_changes: false
% 1.61/1.07
% 1.61/1.07 % ------ Parsing...% successful
% 1.61/1.07
% 1.61/1.07
% 1.61/1.07 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.61/1.07
% 1.61/1.07 % ------ Preprocessing... sf_s rm: 22 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.61/1.07
% 1.61/1.07 % ------ Preprocessing... gs_s sp: 6 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.61/1.07
% 1.61/1.07 % ------ Preprocessing... sf_s rm: 5 0s sf_e sf_s rm: 0 0s sf_e
% 1.61/1.07 % ------ Proving...
% 1.61/1.07 % ------ Problem Properties
% 1.61/1.07
% 1.61/1.07 %
% 1.61/1.07 % clauses 74
% 1.61/1.07 % conjectures 66
% 1.61/1.07 % EPR 46
% 1.61/1.07 % Horn 67
% 1.61/1.07 % unary 30
% 1.61/1.07 % binary 10
% 1.61/1.07 % lits 158
% 1.61/1.07 % lits eq 8
% 1.61/1.07 % fd_pure 0
% 1.61/1.07 % fd_pseudo 0
% 1.61/1.07 % fd_cond 0
% 1.61/1.07 % fd_pseudo_cond 0
% 1.61/1.07 % AC symbols 0
% 1.61/1.07
% 1.61/1.07 % ------ Schedule dynamic 5 is on
% 1.61/1.07
% 1.61/1.07 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.61/1.07
% 1.61/1.07
% 1.61/1.07 % ------
% 1.61/1.07 % Current options:
% 1.61/1.07 % ------
% 1.61/1.07
% 1.61/1.07
% 1.61/1.07 %
% 1.61/1.07
% 1.61/1.07 % ------ Proving...
% 1.61/1.07 %
% 1.61/1.07
% 1.61/1.07 % SZS status Unsatisfiable for theBenchmark.p
% 1.61/1.07
% 1.61/1.07 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.61/1.08
% 1.61/1.08
%------------------------------------------------------------------------------