%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : COL112-2 : 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 : n013.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 01:02:54 PM UTC 2026
% Result : Unsatisfiable 1.63s 1.28s
% Output : CNFRefutation 1.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 16 ( 13 unt; 3 def)
% Number of atoms : 33 ( 3 equ)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 10 ( 7 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 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 : 6 ( 4 usr; 4 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-4 aty)
% Number of variables : 13 ( 0 sgn 13 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] :
( ~ c_in(c_Pair(v_x,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya),X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,axiom,
! [X0] : c_in(c_Pair(X0,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Comb_Oparcontract_Ointros__1_0) ).
fof(f3,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_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Comb_Oparcontract_Ointros__2_0) ).
tcf(c_52,negated_conjecture,
! [X0: $i] :
( ~ c_in(c_Pair(v_x,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya),X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_53,plain,
! [X0: $i] : c_in(c_Pair(X0,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_54,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_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference(cnf_transformation,[],[f3]) ).
tcf(c_66,definition,
iPr_def_10 = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_67,definition,
iPr_def_11 = c_Comb_Ocomb_Oop_A_D_D(iPr_def_10,v_ya),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_68,definition,
iPr_def_12 = tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_69,negated_conjecture,
! [X0: $i] :
( ~ c_in(c_Pair(iPr_def_11,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_12)
| ~ c_in(c_Pair(v_x,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_12) ),
inference(demodulation,[status(thm)],[c_52,c_68,c_66,c_67]) ).
tcf(c_191,plain,
! [X0: $i] : c_in(c_Pair(X0,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_12),
inference(light_normalisation,[status(thm)],[c_53,c_68]) ).
tcf(c_193,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_Oparcontract,iPr_def_12),
inference(light_normalisation,[status(thm)],[c_54,c_68]) ).
tcf(c_194,plain,
! [X0: $i] : c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(iPr_def_10,X0),v_x,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_12),
inference(superposition,[status(thm)],[c_66,c_193]) ).
tcf(c_196,plain,
c_in(c_Pair(iPr_def_11,v_x,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_12),
inference(superposition,[status(thm)],[c_67,c_194]) ).
tcf(c_197,plain,
~ c_in(c_Pair(v_x,v_x,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,iPr_def_12),
inference(superposition,[status(thm)],[c_196,c_69]) ).
tcf(c_198,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_197,c_191]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL112-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n013.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 25 07:37:06 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 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...
% 1.63/1.28 % SZS status Started for theBenchmark.p
% 1.63/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.63/1.28
% 1.63/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.63/1.28
% 1.63/1.28 % ------ iProver source info
% 1.63/1.28
% 1.63/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.63/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.63/1.28 % git: non_committed_changes: false
% 1.63/1.28
% 1.63/1.28 % ------ Parsing...% successful
% 1.63/1.28
% 1.63/1.28
% 1.63/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.63/1.28
% 1.63/1.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.63/1.28
% 1.63/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.63/1.28
% 1.63/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.63/1.28 % ------ Proving...
% 1.63/1.28 % ------ Problem Properties
% 1.63/1.28
% 1.63/1.28 %
% 1.63/1.28 % clauses 6
% 1.63/1.28 % conjectures 1
% 1.63/1.28 % EPR 0
% 1.63/1.28 % Horn 6
% 1.63/1.28 % unary 5
% 1.63/1.28 % binary 1
% 1.63/1.28 % lits 7
% 1.63/1.28 % lits eq 3
% 1.63/1.28 % fd_pure 0
% 1.63/1.28 % fd_pseudo 0
% 1.63/1.28 % fd_cond 0
% 1.63/1.28 % fd_pseudo_cond 0
% 1.63/1.28 % AC symbols 0
% 1.63/1.28
% 1.63/1.28 % ------ Schedule dynamic 5 is on
% 1.63/1.28
% 1.63/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.63/1.28
% 1.63/1.28
% 1.63/1.28 % ------
% 1.63/1.28 % Current options:
% 1.63/1.28 % ------
% 1.63/1.28
% 1.63/1.28
% 1.63/1.28 %
% 1.63/1.28
% 1.63/1.28 % ------ Proving...
% 1.63/1.28 %
% 1.63/1.28
% 1.63/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.63/1.28
% 1.63/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.63/1.28
% 1.63/1.28
%------------------------------------------------------------------------------