%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN079+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/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 03:39:07 PM UTC 2026
% Result : Theorem 1.50s 1.28s
% Output : CNFRefutation 1.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 18 unt; 2 def)
% Number of atoms : 44 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 14 ~; 9 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 16 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
big_f(f(a,b),f(b,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel57_1) ).
fof(f2,axiom,
big_f(f(b,c),f(a,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel57_2) ).
fof(f3,axiom,
! [X0,X1,X2] :
( ( big_f(X1,X2)
& big_f(X0,X1) )
=> big_f(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel57_3) ).
fof(f4,conjecture,
big_f(f(a,b),f(a,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel57) ).
fof(f5,negated_conjecture,
~ big_f(f(a,b),f(a,c)),
inference(negated_conjecture,[status(cth)],[f4]) ).
fof(f6,plain,
~ big_f(f(a,b),f(a,c)),
inference(flattening,[],[f5]) ).
fof(f7,plain,
! [X0,X1,X2] :
( ~ big_f(X1,X2)
| ~ big_f(X0,X1)
| big_f(X0,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f8,plain,
! [X0,X1,X2] :
( ~ big_f(X1,X2)
| ~ big_f(X0,X1)
| big_f(X0,X2) ),
inference(flattening,[],[f7]) ).
fof(f9,plain,
big_f(f(a,b),f(b,c)),
inference(cnf_transformation,[],[f1]) ).
fof(f10,plain,
big_f(f(b,c),f(a,c)),
inference(cnf_transformation,[],[f2]) ).
fof(f11,plain,
! [X2,X0,X1] :
( ~ big_f(X1,X2)
| ~ big_f(X0,X1)
| big_f(X0,X2) ),
inference(cnf_transformation,[],[f8]) ).
fof(f12,plain,
~ big_f(f(a,b),f(a,c)),
inference(cnf_transformation,[],[f6]) ).
tcf(c_49,plain,
big_f(f(a,b),f(b,c)),
inference(cnf_transformation,[],[f9]) ).
tcf(c_50,plain,
big_f(f(b,c),f(a,c)),
inference(cnf_transformation,[],[f10]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i] :
( big_f(X0,X2)
| ~ big_f(X1,X2)
| ~ big_f(X0,X1) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_52,negated_conjecture,
~ big_f(f(a,b),f(a,c)),
inference(cnf_transformation,[],[f12]) ).
tcf(c_65,definition,
iPr_def_10 = f(a,b),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_66,definition,
iPr_def_11 = f(a,c),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_67,negated_conjecture,
~ big_f(iPr_def_10,iPr_def_11),
inference(demodulation,[status(thm)],[c_52,c_66,c_65]) ).
tcf(c_154,plain,
big_f(iPr_def_10,f(b,c)),
inference(light_normalisation,[status(thm)],[c_49,c_65]) ).
tcf(c_155,plain,
big_f(f(b,c),iPr_def_11),
inference(light_normalisation,[status(thm)],[c_50,c_66]) ).
tcf(c_159,plain,
! [X0: $i] :
( big_f(iPr_def_10,X0)
| ~ big_f(f(b,c),X0) ),
inference(superposition,[status(thm)],[c_154,c_51]) ).
tcf(c_171,plain,
big_f(iPr_def_10,iPr_def_11),
inference(superposition,[status(thm)],[c_155,c_159]) ).
tcf(c_172,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_171,c_67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN079+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n026.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 00:09:54 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
% 0.08/0.41 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
% 0.08/0.42
% 0.08/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.42
% 0.08/0.42 % Detected problem language: tptp
% 0.08/0.43 % Proving...
% 1.50/1.28 % SZS status Started for theBenchmark.p
% 1.50/1.28 % SZS status Theorem for theBenchmark.p
% 1.50/1.28
% 1.50/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.50/1.28
% 1.50/1.28 % ------ iProver source info
% 1.50/1.28
% 1.50/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.50/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.50/1.28 % git: non_committed_changes: false
% 1.50/1.28
% 1.50/1.28 % ------ Parsing...
% 1.50/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.50/1.28
% 1.50/1.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.50/1.28
% 1.50/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.50/1.28
% 1.50/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.50/1.28 % ------ Proving...
% 1.50/1.28 % ------ Problem Properties
% 1.50/1.28
% 1.50/1.28 %
% 1.50/1.28 % clauses 6
% 1.50/1.28 % conjectures 1
% 1.50/1.28 % EPR 2
% 1.50/1.28 % Horn 6
% 1.50/1.28 % unary 5
% 1.50/1.28 % binary 0
% 1.50/1.28 % lits 8
% 1.50/1.28 % lits eq 2
% 1.50/1.28 % fd_pure 0
% 1.50/1.28 % fd_pseudo 0
% 1.50/1.28 % fd_cond 0
% 1.50/1.28 % fd_pseudo_cond 0
% 1.50/1.28 % AC symbols 0
% 1.50/1.28
% 1.50/1.28 % ------ Schedule dynamic 5 is on
% 1.50/1.28
% 1.50/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.50/1.28
% 1.50/1.28
% 1.50/1.28 % ------
% 1.50/1.28 % Current options:
% 1.50/1.28 % ------
% 1.50/1.28
% 1.50/1.28
% 1.50/1.28 %
% 1.50/1.28
% 1.50/1.28 % ------ Proving...
% 1.50/1.28 %
% 1.50/1.28
% 1.50/1.28 % SZS status Theorem for theBenchmark.p
% 1.50/1.28
% 1.50/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.50/1.28
% 1.50/1.28
%------------------------------------------------------------------------------