%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : COL124-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n003.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 01:02:57 PM UTC 2026
% Result : Unsatisfiable 0.65s 1.22s
% Output : CNFRefutation 0.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 6 unt; 0 def)
% Number of atoms : 14 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 9 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 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 : 7 ( 7 usr; 3 con; 0-4 aty)
% Number of variables : 16 ( 0 sgn 16 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
fof(f21,axiom,
! [X0] : ~ c_in(c_Pair(c_Comb_Ocomb_OK,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('/export/starexec/sandbox/benchmark/Axioms/COL002-0.ax',cls_Comb_OK__contractE_0) ).
fof(f36,axiom,
! [X0,X1] : c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X0),X1),X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('/export/starexec/sandbox/benchmark/Axioms/COL002-0.ax',cls_Comb_Ocontract_OK_0) ).
fof(f1476,negated_conjecture,
! [X2,X0,X1] :
( ~ c_in(c_Pair(X1,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(X1,X2,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| c_in(c_Pair(X0,v_x(X1,X0,X2),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
tcf(c_1438,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c_in(c_Pair(X1,v_x(X0,X1,X2),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(X0,X2,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(X0,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
inference(cnf_transformation,[],[f1476]) ).
tcf(c_1440,plain,
! [X0: $i,X1: $i] : c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X0),X1),X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference(cnf_transformation,[],[f36]) ).
tcf(c_1443,plain,
! [X0: $i] : ~ c_in(c_Pair(c_Comb_Ocomb_OK,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference(cnf_transformation,[],[f21]) ).
tcf(c_1806,plain,
! [X0: $i,X1: $i] :
( ~ c_in(c_Pair(X0,c_Comb_Ocomb_OK,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(X0,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
inference(superposition,[status(thm)],[c_1438,c_1443]) ).
tcf(c_1869,plain,
! [X0: $i,X1: $i] : ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X0),X1),c_Comb_Ocomb_OK,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference(superposition,[status(thm)],[c_1440,c_1806]) ).
tcf(c_1879,plain,
$false,
inference(superposition,[status(thm)],[c_1440,c_1869]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL124-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39 % Computer : n003.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Fri Sep 25 07:43:23 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 0.12/0.45
% 0.12/0.45 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.45
% 0.12/0.45 % Detected problem language: tptp
% 0.12/0.46 % Proving...
% 0.65/1.22 % SZS status Started for theBenchmark.p
% 0.65/1.22 % SZS status Unsatisfiable for theBenchmark.p
% 0.65/1.22
% 0.65/1.22 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.65/1.22
% 0.65/1.22 % ------ iProver source info
% 0.65/1.22
% 0.65/1.22 % git: date: 2026-07-19 20:42:38 +0200
% 0.65/1.22 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.65/1.22 % git: non_committed_changes: false
% 0.65/1.22
% 0.65/1.22 % ------ Parsing...% successful
% 0.65/1.22
% 0.65/1.22
% 0.65/1.22 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.65/1.22
% 0.65/1.22 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 0.65/1.22
% 0.65/1.22 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.65/1.22
% 0.65/1.22 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.65/1.22 % ------ Proving...
% 0.65/1.22 % ------ Problem Properties
% 0.65/1.22
% 0.65/1.22 %
% 0.65/1.22 % clauses 11
% 0.65/1.22 % conjectures 2
% 0.65/1.22 % EPR 0
% 0.65/1.22 % Horn 11
% 0.65/1.22 % unary 3
% 0.65/1.22 % binary 6
% 0.65/1.22 % lits 21
% 0.65/1.22 % lits eq 9
% 0.65/1.22 % fd_pure 0
% 0.65/1.22 % fd_pseudo 0
% 0.65/1.22 % fd_cond 0
% 0.65/1.22 % fd_pseudo_cond 4
% 0.65/1.22 % AC symbols 0
% 0.65/1.22
% 0.65/1.22 % ------ Schedule dynamic 5 is on
% 0.65/1.22
% 0.65/1.22 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.65/1.22
% 0.65/1.22
% 0.65/1.22 % ------
% 0.65/1.22 % Current options:
% 0.65/1.22 % ------
% 0.65/1.22
% 0.65/1.22
% 0.65/1.22 %
% 0.65/1.22
% 0.65/1.22 % ------ Proving...
% 0.65/1.22 %
% 0.65/1.22
% 0.65/1.22 % SZS status Unsatisfiable for theBenchmark.p
% 0.65/1.22
% 0.65/1.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.65/1.22
% 0.65/1.22
%------------------------------------------------------------------------------