%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV836-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n005.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 03:24:19 PM UTC 2026
% Result : Unsatisfiable 0.89s 1.21s
% Output : CNFRefutation 0.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 9 ( 0 sgn 9 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
fof(f617,axiom,
! [X2,X3,X0,X1] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,X2,X3)
| c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oinsert(X1,X2,tc_Hoare__Mirabelle_Otriple(X3)),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_hoare__derivs_Oinsert_0) ).
fof(f668,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,c_Set_Oinsert(v_t,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f669,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_tsa,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f670,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,c_Set_Oinsert(v_t,v_tsa,tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
tcf(c_1113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oinsert(X1,X3,tc_Hoare__Mirabelle_Otriple(X2)),X2)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,X3,X2)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2) ),
inference(cnf_transformation,[],[f617]) ).
tcf(c_1158,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,c_Set_Oinsert(v_t,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
inference(cnf_transformation,[],[f668]) ).
tcf(c_1159,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_tsa,t_a),
inference(cnf_transformation,[],[f669]) ).
tcf(c_1160,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,c_Set_Oinsert(v_t,v_tsa,tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
inference(cnf_transformation,[],[f670]) ).
tcf(c_1558,plain,
! [X0: $i] :
( c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,c_Set_Oinsert(v_t,X0,tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,X0,t_a) ),
inference(superposition,[status(thm)],[c_1158,c_1113]) ).
tcf(c_3893,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_tsa,t_a),
inference(superposition,[status(thm)],[c_1558,c_1160]) ).
tcf(c_3897,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_1159,c_3893]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV836-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n005.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 21:08:18 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.43
% 0.09/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.43
% 0.09/0.43 % Detected problem language: tptp
% 0.09/0.44 % Proving...
% 0.89/1.21 % SZS status Started for theBenchmark.p
% 0.89/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 0.89/1.21
% 0.89/1.21 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.89/1.21
% 0.89/1.21 % ------ iProver source info
% 0.89/1.21
% 0.89/1.21 % git: date: 2026-07-19 20:42:38 +0200
% 0.89/1.21 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.89/1.21 % git: non_committed_changes: false
% 0.89/1.21
% 0.89/1.21 % ------ Parsing...% successful
% 0.89/1.21
% 0.89/1.21
% 0.89/1.21 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.89/1.21 % ------ Proving...
% 0.89/1.21 % ------ Problem Properties
% 0.89/1.21
% 0.89/1.21 %
% 0.89/1.21 % clauses 554
% 0.89/1.21 % conjectures 6
% 0.89/1.21 % EPR 73
% 0.89/1.21 % Horn 487
% 0.89/1.21 % unary 128
% 0.89/1.21 % binary 188
% 0.89/1.21 % lits 1295
% 0.89/1.21 % lits eq 287
% 0.89/1.21 % fd_pure 0
% 0.89/1.21 % fd_pseudo 0
% 0.89/1.21 % fd_cond 0
% 0.89/1.21 % fd_pseudo_cond 50
% 0.89/1.21 % AC symbols 0
% 0.89/1.21
% 0.89/1.21 % ------ Input Options Time Limit: Unbounded
% 0.89/1.21
% 0.89/1.21
% 0.89/1.21 % ------
% 0.89/1.21 % Current options:
% 0.89/1.21 % ------
% 0.89/1.21
% 0.89/1.21
% 0.89/1.21 %
% 0.89/1.21
% 0.89/1.21 % ------ Proving...
% 0.89/1.21 %
% 0.89/1.21
% 0.89/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 0.89/1.21
% 0.89/1.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.89/1.21
% 0.89/1.21
%------------------------------------------------------------------------------