%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET838-2 : TPTP v9.3.1. Released v3.2.0.
% 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 02:48:44 PM UTC 2026
% Result : Unsatisfiable 0.58s 1.36s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 13 unt; 2 def)
% Number of atoms : 66 ( 40 equ)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 33 ( 19 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
v_f(v_g(v_x)) = v_x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,plain,
v_x = v_f(v_g(v_x)),
inference(reorient_equations,[],[f1]) ).
fof(f3,negated_conjecture,
! [X0] :
( v_f(v_g(X0)) != X0
| X0 = v_x ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f4,plain,
! [X0] :
( v_f(v_g(X0)) != X0
| v_x = X0 ),
inference(reorient_equations,[],[f3]) ).
fof(f5,negated_conjecture,
! [X0] :
( v_g(v_f(X0)) != X0
| v_g(v_f(v_xa(X0))) = v_xa(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f6,plain,
! [X0] :
( v_g(v_f(X0)) != X0
| v_xa(X0) = v_g(v_f(v_xa(X0))) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
! [X0] :
( v_g(v_f(X0)) != X0
| v_xa(X0) != X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
tcf(c_53,negated_conjecture,
v_f(v_g(v_x)) = v_x,
inference(cnf_transformation,[],[f2]) ).
tcf(c_54,negated_conjecture,
! [X0: $i] :
( ( X0 = v_x )
| ( v_f(v_g(X0)) != X0 ) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_55,negated_conjecture,
! [X0: $i] :
( ( v_g(v_f(v_xa(X0))) = v_xa(X0) )
| ( v_g(v_f(X0)) != X0 ) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_56,negated_conjecture,
! [X0: $i] :
( ( v_xa(X0) != X0 )
| ( v_g(v_f(X0)) != X0 ) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_88,definition,
iPr_def_10 = v_g(v_x),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_89,definition,
iPr_def_11 = v_f(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_90,negated_conjecture,
! [X0: $i] :
( ( v_xa(X0) != X0 )
| ( v_g(v_f(X0)) != X0 ) ),
inference(demodulation,[status(thm)],[c_56]) ).
tcf(c_91,negated_conjecture,
! [X0: $i] :
( ( v_g(v_f(v_xa(X0))) = v_xa(X0) )
| ( v_g(v_f(X0)) != X0 ) ),
inference(demodulation,[status(thm)],[c_55]) ).
tcf(c_92,negated_conjecture,
! [X0: $i] :
( ( X0 = v_x )
| ( v_f(v_g(X0)) != X0 ) ),
inference(demodulation,[status(thm)],[c_54]) ).
tcf(c_93,negated_conjecture,
iPr_def_11 = v_x,
inference(demodulation,[status(thm)],[c_53,c_88,c_89]) ).
tcf(c_135,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ( v_f(v_g(X0)) != X0 ) ),
inference(light_normalisation,[status(thm)],[c_92,c_93]) ).
tcf(c_146,plain,
v_g(iPr_def_11) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_88,c_93]) ).
tcf(c_148,plain,
( ( v_g(v_f(v_xa(iPr_def_10))) = v_xa(iPr_def_10) )
| ( v_g(iPr_def_11) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_89,c_91]) ).
tcf(c_149,plain,
( ( v_xa(iPr_def_10) != iPr_def_10 )
| ( v_g(iPr_def_11) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_89,c_90]) ).
tcf(c_150,plain,
v_xa(iPr_def_10) != iPr_def_10,
inference(ground_joinability,[status(thm)],[c_149,c_146]) ).
tcf(c_151,plain,
v_g(v_f(v_xa(iPr_def_10))) = v_xa(iPr_def_10),
inference(ground_joinability,[status(thm)],[c_148,c_146]) ).
tcf(c_152,plain,
v_f(v_xa(iPr_def_10)) = iPr_def_11,
inference(superposition,[status(thm)],[c_151,c_135]) ).
tcf(c_155,plain,
v_g(iPr_def_11) = v_xa(iPr_def_10),
inference(demodulation,[status(thm)],[c_151,c_152]) ).
tcf(c_156,plain,
v_xa(iPr_def_10) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_155,c_146]) ).
tcf(c_157,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_156,c_150]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET838-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.40 % Computer : n026.cluster.edu
% 0.15/0.40 % Model : x86_64 x86_64
% 0.15/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.40 % Memory : 8046.5625MB
% 0.15/0.40 % OS : Linux 6.8.0-71-generic
% 0.15/0.40 % CPULimit : 300
% 0.15/0.40 % WCLimit : 300
% 0.15/0.40 % DateTime : Thu Sep 24 12:11:39 UTC 2026
% 0.15/0.40 % CPUTime :
% 0.15/0.40 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.46 Running first-order theorem proving
% 0.15/0.46 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
% 0.22/0.48
% 0.22/0.48 % ======== iProver multi-core TPTP/SMT =========
% 0.22/0.48
% 0.22/0.48 % Detected problem language: tptp
% 0.22/0.49 % Proving...
% 0.58/1.36 % SZS status Started for theBenchmark.p
% 0.58/1.36 % SZS status Unsatisfiable for theBenchmark.p
% 0.58/1.36
% 0.58/1.36 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.58/1.36
% 0.58/1.36 % ------ iProver source info
% 0.58/1.36
% 0.58/1.36 % git: date: 2026-07-19 20:42:38 +0200
% 0.58/1.36 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.58/1.36 % git: non_committed_changes: false
% 0.58/1.36
% 0.58/1.36 % ------ Parsing...% successful
% 0.58/1.36
% 0.58/1.36
% 0.58/1.36 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.58/1.36
% 0.58/1.36 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 0.58/1.36
% 0.58/1.36 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.58/1.36
% 0.58/1.36 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 0.58/1.36 % ------ Proving...
% 0.58/1.36 % ------ Problem Properties
% 0.58/1.36
% 0.58/1.36 %
% 0.58/1.36 % clauses 6
% 0.58/1.36 % conjectures 4
% 0.58/1.36 % EPR 1
% 0.58/1.36 % Horn 6
% 0.58/1.36 % unary 3
% 0.58/1.36 % binary 3
% 0.58/1.36 % lits 9
% 0.58/1.36 % lits eq 9
% 0.58/1.36 % fd_pure 0
% 0.58/1.36 % fd_pseudo 0
% 0.58/1.36 % fd_cond 1
% 0.58/1.36 % fd_pseudo_cond 0
% 0.58/1.36 % AC symbols 0
% 0.58/1.36
% 0.58/1.36 % ------ Schedule dynamic 5 is on
% 0.58/1.36
% 0.58/1.36 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.58/1.36
% 0.58/1.36
% 0.58/1.36 % ------
% 0.58/1.36 % Current options:
% 0.58/1.36 % ------
% 0.58/1.36
% 0.58/1.36
% 0.58/1.36 %
% 0.58/1.36
% 0.58/1.36 % ------ Proving...
% 0.58/1.36 %
% 0.58/1.36
% 0.58/1.36 % SZS status Unsatisfiable for theBenchmark.p
% 0.58/1.36
% 0.58/1.36 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.58/1.36
% 0.58/1.36
%------------------------------------------------------------------------------