%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN074-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n004.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 03:39:06 PM UTC 2026
% Result : Unsatisfiable 0.85s 1.17s
% Output : CNFRefutation 0.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 6
% Syntax : Number of formulae : 34 ( 7 unt; 0 def)
% Number of atoms : 71 ( 43 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 68 ( 31 ~; 37 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 42 ( 0 sgn 42 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( X0 = a
| ~ big_f(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f2,plain,
! [X0,X1] :
( a = X0
| ~ big_f(X0,X1) ),
inference(reorient_equations,[],[f1]) ).
fof(f3,axiom,
! [X0,X1] :
( X1 = b
| ~ big_f(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f4,plain,
! [X0,X1] :
( b = X1
| ~ big_f(X0,X1) ),
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0,X1] :
( big_f(X0,X1)
| X1 != b
| X0 != a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f6,plain,
! [X0,X1] :
( big_f(X0,X1)
| b != X1
| a != X0 ),
inference(reorient_equations,[],[f5]) ).
fof(f15,negated_conjecture,
! [X0,X1] :
( f(X1) = X1
| big_f(f(X1),X0)
| X0 != g(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
fof(f16,plain,
! [X0,X1] :
( f(X1) = X1
| big_f(f(X1),X0)
| g(X1) != X0 ),
inference(reorient_equations,[],[f15]) ).
fof(f19,negated_conjecture,
! [X0,X1] :
( h(X0,X1) = X1
| big_f(f(X0),h(X0,X1))
| f(X0) != X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).
fof(f20,negated_conjecture,
! [X0,X1] :
( ~ big_f(f(X0),h(X0,X1))
| h(X0,X1) != X1
| f(X0) != X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11) ).
fof(f21,plain,
! [X1] :
( big_f(a,X1)
| b != X1 ),
inference(equality_resolution,[],[f6]) ).
fof(f22,plain,
big_f(a,b),
inference(equality_resolution,[],[f21]) ).
fof(f24,plain,
! [X1] :
( f(X1) = X1
| big_f(f(X1),g(X1)) ),
inference(equality_resolution,[],[f16]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( ( X0 = a )
| ~ big_f(X0,X1) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] :
( ( X1 = b )
| ~ big_f(X0,X1) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_62,plain,
big_f(a,b),
inference(cnf_transformation,[],[f22]) ).
tcf(c_67,negated_conjecture,
! [X0: $i] :
( big_f(f(X0),g(X0))
| ( f(X0) = X0 ) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_69,negated_conjecture,
! [X0: $i,X1: $i] :
( big_f(f(X0),h(X0,X1))
| ( h(X0,X1) = X1 )
| ( f(X0) != X0 ) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_70,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ big_f(f(X0),h(X0,X1))
| ( f(X0) != X0 )
| ( h(X0,X1) != X1 ) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_202,negated_conjecture,
! [X0: $i] :
( big_f(f(X0),g(X0))
| ( f(X0) = X0 ) ),
inference(demodulation,[status(thm)],[c_67]) ).
tcf(c_204,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ big_f(f(X0),h(X0,X1))
| ( f(X0) != X0 )
| ( h(X0,X1) != X1 ) ),
inference(demodulation,[status(thm)],[c_70]) ).
tcf(c_205,negated_conjecture,
! [X0: $i,X1: $i] :
( big_f(f(X0),h(X0,X1))
| ( h(X0,X1) = X1 )
| ( f(X0) != X0 ) ),
inference(demodulation,[status(thm)],[c_69]) ).
tcf(c_432,plain,
! [X0: $i] :
( ( f(X0) = a )
| ( f(X0) = X0 ) ),
inference(superposition,[status(thm)],[c_202,c_60]) ).
tcf(c_470,plain,
! [X0: $i] :
( ( f(X0) = a )
| ( X0 != a ) ),
inference(equality_factoring,[status(thm)],[c_432]) ).
tcf(c_532,plain,
f(a) = a,
inference(equality_resolution,[status(thm)],[c_470]) ).
tcf(c_721,plain,
! [X0: $i] :
( big_f(f(a),h(a,X0))
| ( h(a,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_532,c_205]) ).
tcf(c_725,plain,
! [X0: $i] :
( big_f(a,h(a,X0))
| ( h(a,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_721,c_532]) ).
tcf(c_760,plain,
! [X0: $i] :
( ( h(a,X0) = b )
| ( h(a,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_725,c_61]) ).
tcf(c_793,plain,
! [X0: $i] :
( ( h(a,X0) = b )
| ( X0 != b ) ),
inference(equality_factoring,[status(thm)],[c_760]) ).
tcf(c_894,plain,
h(a,b) = b,
inference(equality_resolution,[status(thm)],[c_793]) ).
tcf(c_1203,plain,
( ~ big_f(f(a),h(a,b))
| ( f(a) != a ) ),
inference(superposition,[status(thm)],[c_894,c_204]) ).
tcf(c_1209,plain,
~ big_f(f(a),h(a,b)),
inference(ground_joinability,[status(thm)],[c_1203,c_532]) ).
tcf(c_1210,plain,
~ big_f(a,b),
inference(light_normalisation,[status(thm)],[c_1209,c_532,c_894]) ).
tcf(c_1211,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1210,c_62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN074-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n004.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 00:05:20 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 0.13/0.40
% 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...
% 0.85/1.17 % SZS status Started for theBenchmark.p
% 0.85/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 0.85/1.17
% 0.85/1.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.85/1.17
% 0.85/1.17 % ------ iProver source info
% 0.85/1.17
% 0.85/1.17 % git: date: 2026-07-19 20:42:38 +0200
% 0.85/1.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.85/1.17 % git: non_committed_changes: false
% 0.85/1.17
% 0.85/1.17 % ------ Parsing...% successful
% 0.85/1.17
% 0.85/1.17
% 0.85/1.17 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.85/1.17
% 0.85/1.17 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 0.85/1.17
% 0.85/1.17 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.85/1.17
% 0.85/1.17 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.85/1.17 % ------ Proving...
% 0.85/1.17 % ------ Problem Properties
% 0.85/1.17
% 0.85/1.17 %
% 0.85/1.17 % clauses 11
% 0.85/1.17 % conjectures 8
% 0.85/1.17 % EPR 3
% 0.85/1.17 % Horn 6
% 0.85/1.17 % unary 1
% 0.85/1.17 % binary 3
% 0.85/1.17 % lits 30
% 0.85/1.17 % lits eq 15
% 0.85/1.17 % fd_pure 0
% 0.85/1.17 % fd_pseudo 0
% 0.85/1.17 % fd_cond 2
% 0.85/1.17 % fd_pseudo_cond 1
% 0.85/1.17 % AC symbols 0
% 0.85/1.17
% 0.85/1.17 % ------ Schedule dynamic 5 is on
% 0.85/1.17
% 0.85/1.17 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.85/1.17
% 0.85/1.17
% 0.85/1.17 % ------
% 0.85/1.17 % Current options:
% 0.85/1.17 % ------
% 0.85/1.17
% 0.85/1.17
% 0.85/1.17 %
% 0.85/1.17
% 0.85/1.17 % ------ Proving...
% 0.85/1.17 %
% 0.85/1.17
% 0.85/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 0.85/1.17
% 0.85/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.85/1.17
% 0.85/1.17
%------------------------------------------------------------------------------