%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET838-1 : 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 0.99s 1.21s
% Output : CNFRefutation 0.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 8 unt; 0 def)
% Number of atoms : 24 ( 23 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 19 ( 11 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 8 ( 0 sgn 8 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1434,negated_conjecture,
v_f(v_g(v_x)) = v_x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1435,plain,
v_x = v_f(v_g(v_x)),
inference(reorient_equations,[],[f1434]) ).
fof(f1436,negated_conjecture,
! [X0] :
( v_f(v_g(X0)) != X0
| X0 = v_x ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1437,plain,
! [X0] :
( v_f(v_g(X0)) != X0
| v_x = X0 ),
inference(reorient_equations,[],[f1436]) ).
fof(f1438,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(f1439,plain,
! [X0] :
( v_g(v_f(X0)) != X0
| v_xa(X0) = v_g(v_f(v_xa(X0))) ),
inference(reorient_equations,[],[f1438]) ).
fof(f1440,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_1410,negated_conjecture,
v_f(v_g(v_x)) = v_x,
inference(cnf_transformation,[],[f1435]) ).
tcf(c_1411,negated_conjecture,
! [X0: $i] :
( ( X0 = v_x )
| ( v_f(v_g(X0)) != X0 ) ),
inference(cnf_transformation,[],[f1437]) ).
tcf(c_1412,negated_conjecture,
! [X0: $i] :
( ( v_g(v_f(v_xa(X0))) = v_xa(X0) )
| ( v_g(v_f(X0)) != X0 ) ),
inference(cnf_transformation,[],[f1439]) ).
tcf(c_1413,negated_conjecture,
! [X0: $i] :
( ( v_xa(X0) != X0 )
| ( v_g(v_f(X0)) != X0 ) ),
inference(cnf_transformation,[],[f1440]) ).
tcf(c_1489,plain,
v_xa(v_g(v_x)) != v_g(v_x),
inference(superposition,[status(thm)],[c_1410,c_1413]) ).
tcf(c_1494,plain,
v_g(v_f(v_xa(v_g(v_x)))) = v_xa(v_g(v_x)),
inference(superposition,[status(thm)],[c_1410,c_1412]) ).
tcf(c_1495,plain,
v_f(v_xa(v_g(v_x))) = v_x,
inference(superposition,[status(thm)],[c_1494,c_1411]) ).
tcf(c_1498,plain,
v_xa(v_g(v_x)) = v_g(v_x),
inference(demodulation,[status(thm)],[c_1494,c_1495]) ).
tcf(c_1499,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1498,c_1489]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET838-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n026.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 12:11:54 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 0.99/1.21 % SZS status Started for theBenchmark.p
% 0.99/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 0.99/1.21
% 0.99/1.21 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.99/1.21
% 0.99/1.21 % ------ iProver source info
% 0.99/1.21
% 0.99/1.21 % git: date: 2026-07-19 20:42:38 +0200
% 0.99/1.21 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.99/1.21 % git: non_committed_changes: false
% 0.99/1.21
% 0.99/1.21 % ------ Parsing...% successful
% 0.99/1.21
% 0.99/1.21
% 0.99/1.21 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.99/1.21
% 0.99/1.21 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 0.99/1.21
% 0.99/1.21 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.99/1.21
% 0.99/1.21 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 0.99/1.21 % ------ Proving...
% 0.99/1.21 % ------ Problem Properties
% 0.99/1.21
% 0.99/1.21 %
% 0.99/1.21 % clauses 4
% 0.99/1.21 % conjectures 4
% 0.99/1.21 % EPR 0
% 0.99/1.21 % Horn 4
% 0.99/1.21 % unary 1
% 0.99/1.21 % binary 3
% 0.99/1.21 % lits 7
% 0.99/1.21 % lits eq 7
% 0.99/1.21 % fd_pure 0
% 0.99/1.21 % fd_pseudo 0
% 0.99/1.21 % fd_cond 1
% 0.99/1.21 % fd_pseudo_cond 0
% 0.99/1.21 % AC symbols 0
% 0.99/1.21
% 0.99/1.21 % ------ Schedule dynamic 5 is on
% 0.99/1.21
% 0.99/1.21 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.99/1.21
% 0.99/1.21
% 0.99/1.21 % ------
% 0.99/1.21 % Current options:
% 0.99/1.21 % ------
% 0.99/1.21
% 0.99/1.21
% 0.99/1.21 %
% 0.99/1.21
% 0.99/1.21 % ------ Proving...
% 0.99/1.21 %
% 0.99/1.21
% 0.99/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 0.99/1.21
% 0.99/1.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.99/1.21
% 0.99/1.21
%------------------------------------------------------------------------------