%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN077-1 : TPTP v9.3.1. Released v1.0.0.
% 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 03:39:07 PM UTC 2026
% Result : Unsatisfiable 1.86s 6.29s
% Output : CNFRefutation 1.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 34 ( 6 unt; 0 def)
% Number of atoms : 87 ( 6 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 103 ( 50 ~; 53 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 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; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 53 ( 0 sgn 53 !; 0 ?; 38 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( X0 = X1
| ~ big_f(X0,f(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f2,axiom,
! [X0,X1] :
( big_f(X0,f(X1))
| X0 != X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
fof(f3,negated_conjecture,
! [X0,X1] :
( big_f(g(X0,X1),X1)
| ~ big_f(X0,X1)
| ~ big_f(X0,a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f4,negated_conjecture,
! [X2,X0,X1] :
( ~ big_f(X2,X1)
| ~ big_f(X2,g(X0,X1))
| ~ big_f(X0,X1)
| ~ big_f(X0,a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f5,negated_conjecture,
! [X0] :
( big_f(X0,a)
| big_f(X0,h(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f6,negated_conjecture,
! [X0,X1] :
( big_f(X1,a)
| big_f(i(X1,X0),X0)
| ~ big_f(X0,h(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
fof(f7,negated_conjecture,
! [X0,X1] :
( ~ big_f(X1,h(X0))
| big_f(i(X0,X1),h(X0))
| big_f(X0,a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
fof(f8,plain,
! [X1] : big_f(X1,f(X1)),
inference(equality_resolution,[],[f2]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ big_f(X0,f(X1)) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_57,plain,
! [X0: $i] : big_f(X0,f(X0)),
inference(cnf_transformation,[],[f8]) ).
tcf(c_58,negated_conjecture,
! [X0: $i,X1: $i] :
( big_f(g(X0,X1),X1)
| ~ big_f(X0,a)
| ~ big_f(X0,X1) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_59,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ big_f(X1,a)
| ~ big_f(X1,X2)
| ~ big_f(X0,X2)
| ~ big_f(X0,g(X1,X2)) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_60,negated_conjecture,
! [X0: $i] :
( big_f(X0,a)
| big_f(X0,h(X0)) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_61,negated_conjecture,
! [X0: $i,X1: $i] :
( big_f(X1,a)
| big_f(i(X1,X0),X0)
| ~ big_f(X0,h(X1)) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_62,negated_conjecture,
! [X0: $i,X1: $i] :
( big_f(X1,a)
| big_f(i(X1,X0),h(X1))
| ~ big_f(X0,h(X1)) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_63,plain,
big_f(a,f(a)),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_142,negated_conjecture,
! [X0: $i,X1: $i] :
( big_f(X1,a)
| big_f(i(X1,X0),h(X1))
| ~ big_f(X0,h(X1)) ),
inference(demodulation,[status(thm)],[c_62]) ).
tcf(c_143,negated_conjecture,
! [X0: $i,X1: $i] :
( big_f(X1,a)
| big_f(i(X1,X0),X0)
| ~ big_f(X0,h(X1)) ),
inference(demodulation,[status(thm)],[c_61]) ).
tcf(c_144,negated_conjecture,
! [X0: $i] :
( big_f(X0,a)
| big_f(X0,h(X0)) ),
inference(demodulation,[status(thm)],[c_60]) ).
tcf(c_145,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ big_f(X1,a)
| ~ big_f(X1,X2)
| ~ big_f(X0,X2)
| ~ big_f(X0,g(X1,X2)) ),
inference(demodulation,[status(thm)],[c_59]) ).
tcf(c_146,negated_conjecture,
! [X0: $i,X1: $i] :
( big_f(g(X0,X1),X1)
| ~ big_f(X0,a)
| ~ big_f(X0,X1) ),
inference(demodulation,[status(thm)],[c_58]) ).
tcf(c_288,plain,
! [X0: $i,X1: $i,X2: $i] :
( big_f(X0,a)
| ~ big_f(X1,a)
| ~ big_f(X1,X2)
| ~ big_f(g(X1,X2),h(X0))
| ~ big_f(i(X0,g(X1,X2)),X2) ),
inference(superposition,[status(thm)],[c_143,c_145]) ).
tcf(c_319,plain,
! [X0: $i,X1: $i] :
( big_f(X1,a)
| ~ big_f(X0,a)
| ~ big_f(X0,h(X1))
| ~ big_f(g(X0,h(X1)),h(X1)) ),
inference(superposition,[status(thm)],[c_142,c_288]) ).
tcf(c_328,plain,
! [X0: $i,X1: $i] :
( big_f(X1,a)
| ~ big_f(X0,a)
| ~ big_f(X0,h(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_319,c_146]) ).
tcf(c_341,plain,
! [X0: $i,X1: $i] :
( big_f(X0,a)
| ~ big_f(X1,h(X0))
| ~ big_f(i(X0,X1),a) ),
inference(superposition,[status(thm)],[c_142,c_328]) ).
tcf(c_363,plain,
! [X0: $i,X1: $i] :
( ( g(X0,f(X1)) = X1 )
| ~ big_f(X0,a)
| ~ big_f(X0,f(X1)) ),
inference(superposition,[status(thm)],[c_146,c_56]) ).
tcf(c_380,plain,
! [X0: $i] :
( big_f(X0,a)
| ~ big_f(a,h(X0)) ),
inference(superposition,[status(thm)],[c_143,c_341]) ).
tcf(c_388,plain,
big_f(a,a),
inference(superposition,[status(thm)],[c_144,c_380]) ).
tcf(c_397,plain,
! [X0: $i] :
( ( g(X0,f(X0)) = X0 )
| ~ big_f(X0,a) ),
inference(superposition,[status(thm)],[c_57,c_363]) ).
tcf(c_419,plain,
g(a,f(a)) = a,
inference(superposition,[status(thm)],[c_388,c_397]) ).
tcf(c_431,plain,
! [X0: $i] :
( ~ big_f(a,a)
| ~ big_f(X0,a)
| ~ big_f(a,f(a))
| ~ big_f(X0,f(a)) ),
inference(superposition,[status(thm)],[c_419,c_145]) ).
tcf(c_432,plain,
! [X0: $i] :
( ~ big_f(X0,a)
| ~ big_f(X0,f(a)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_431,c_388,c_57]) ).
tcf(c_441,plain,
( ~ big_f(a,a)
| ~ big_f(a,f(a)) ),
inference(instantiation,[status(thm)],[c_432]) ).
tcf(c_442,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_441,c_388,c_63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN077-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/5.37 % Computer : n002.cluster.edu
% 0.11/5.37 % Model : x86_64 x86_64
% 0.11/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37 % Memory : 8046.5625MB
% 0.11/5.37 % OS : Linux 6.8.0-71-generic
% 0.11/5.37 % CPULimit : 300
% 0.11/5.37 % WCLimit : 300
% 0.11/5.37 % DateTime : Fri Sep 25 00:09:32 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/5.41 Running first-order theorem proving
% 0.14/5.42 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
% 0.14/5.43
% 0.14/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.43
% 0.14/5.43 % Detected problem language: tptp
% 0.14/5.44 % Proving...
% 1.86/6.29 % SZS status Started for theBenchmark.p
% 1.86/6.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.86/6.29
% 1.86/6.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.86/6.29
% 1.86/6.29 % ------ iProver source info
% 1.86/6.29
% 1.86/6.29 % git: date: 2026-07-19 20:42:38 +0200
% 1.86/6.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.86/6.29 % git: non_committed_changes: false
% 1.86/6.29
% 1.86/6.29 % ------ Parsing...% successful
% 1.86/6.29
% 1.86/6.29
% 1.86/6.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.86/6.29
% 1.86/6.29 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 1.86/6.29
% 1.86/6.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.86/6.29
% 1.86/6.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.86/6.29 % ------ Proving...
% 1.86/6.29 % ------ Problem Properties
% 1.86/6.29
% 1.86/6.29 %
% 1.86/6.29 % clauses 7
% 1.86/6.29 % conjectures 5
% 1.86/6.29 % EPR 0
% 1.86/6.29 % Horn 4
% 1.86/6.29 % unary 1
% 1.86/6.29 % binary 2
% 1.86/6.29 % lits 18
% 1.86/6.29 % lits eq 1
% 1.86/6.29 % fd_pure 0
% 1.86/6.29 % fd_pseudo 0
% 1.86/6.29 % fd_cond 0
% 1.86/6.29 % fd_pseudo_cond 1
% 1.86/6.29 % AC symbols 0
% 1.86/6.29
% 1.86/6.29 % ------ Schedule dynamic 5 is on
% 1.86/6.29
% 1.86/6.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.86/6.29
% 1.86/6.29
% 1.86/6.29 % ------
% 1.86/6.29 % Current options:
% 1.86/6.29 % ------
% 1.86/6.29
% 1.86/6.29
% 1.86/6.29 %
% 1.86/6.29
% 1.86/6.29 % ------ Proving...
% 1.86/6.29 %
% 1.86/6.29
% 1.86/6.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.86/6.29
% 1.86/6.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.86/6.29
% 1.86/6.29
%------------------------------------------------------------------------------