%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT281-2 : 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 : n015.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 01:58:33 PM UTC 2026
% Result : Unsatisfiable 1.50s 1.18s
% Output : CNFRefutation 1.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 29 ( 20 unt; 4 def)
% Number of atoms : 81 ( 6 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 47 ( 25 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-4 aty)
% Number of variables : 20 ( 0 sgn 20 !; 0 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
c_in(c_Pair(v_b,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,negated_conjecture,
~ c_in(c_Pair(v_a,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f4,axiom,
! [X2,X3,X0,X1,X4] :
( c_in(c_Pair(X4,X3,X1,X1),X0,tc_prod(X1,X1))
| ~ c_in(c_Pair(X4,X2,X1,X1),X0,tc_prod(X1,X1))
| ~ c_in(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1))
| ~ c_Relation_Otrans(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_Otrans__def_0) ).
fof(f5,axiom,
! [X0,X1] :
( c_Relation_Otrans(c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1)
| ~ c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OPartialOrder__iff_2) ).
fof(f6,axiom,
c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Ocl_A_58_APartialOrder_0) ).
fof(f7,axiom,
v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Or_A_61_61_Aorder_Acl_0) ).
tcf(c_56,negated_conjecture,
c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_57,negated_conjecture,
c_in(c_Pair(v_b,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_58,negated_conjecture,
~ c_in(c_Pair(v_a,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(cnf_transformation,[],[f3]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(c_Pair(X4,X1,X2,X2),X3,tc_prod(X2,X2))
| ~ c_Relation_Otrans(X3,X2)
| ~ c_in(c_Pair(X4,X0,X2,X2),X3,tc_prod(X2,X2))
| ~ c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( c_Relation_Otrans(c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1)
| ~ c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit)) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_61,plain,
c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
inference(cnf_transformation,[],[f6]) ).
tcf(c_62,plain,
c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) = v_r,
inference(cnf_transformation,[],[f7]) ).
tcf(c_123,definition,
iPr_def_10 = c_Pair(v_a,v_c,t_a,t_a),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_124,definition,
iPr_def_11 = tc_prod(t_a,t_a),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_125,definition,
iPr_def_12 = c_Pair(v_b,v_c,t_a,t_a),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_126,definition,
iPr_def_13 = c_Pair(v_a,v_b,t_a,t_a),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_127,negated_conjecture,
~ c_in(iPr_def_10,v_r,iPr_def_11),
inference(demodulation,[status(thm)],[c_58,c_124,c_123]) ).
tcf(c_128,negated_conjecture,
c_in(iPr_def_12,v_r,iPr_def_11),
inference(demodulation,[status(thm)],[c_57,c_125]) ).
tcf(c_129,negated_conjecture,
c_in(iPr_def_13,v_r,iPr_def_11),
inference(demodulation,[status(thm)],[c_56,c_126]) ).
tcf(c_317,plain,
c_Relation_Otrans(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a),
inference(superposition,[status(thm)],[c_61,c_60]) ).
tcf(c_318,plain,
c_Relation_Otrans(v_r,t_a),
inference(light_normalisation,[status(thm)],[c_317,c_62]) ).
tcf(c_328,plain,
! [X0: $i,X1: $i] :
( c_in(c_Pair(X0,v_c,t_a,t_a),X1,tc_prod(t_a,t_a))
| ~ c_Relation_Otrans(X1,t_a)
| ~ c_in(iPr_def_12,X1,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(X0,v_b,t_a,t_a),X1,tc_prod(t_a,t_a)) ),
inference(superposition,[status(thm)],[c_125,c_59]) ).
tcf(c_336,plain,
! [X0: $i,X1: $i] :
( c_in(c_Pair(X0,v_c,t_a,t_a),X1,iPr_def_11)
| ~ c_Relation_Otrans(X1,t_a)
| ~ c_in(iPr_def_12,X1,iPr_def_11)
| ~ c_in(c_Pair(X0,v_b,t_a,t_a),X1,iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_328,c_124]) ).
tcf(c_370,plain,
! [X0: $i] :
( c_in(c_Pair(v_a,v_c,t_a,t_a),X0,iPr_def_11)
| ~ c_Relation_Otrans(X0,t_a)
| ~ c_in(iPr_def_13,X0,iPr_def_11)
| ~ c_in(iPr_def_12,X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_126,c_336]) ).
tcf(c_371,plain,
! [X0: $i] :
( c_in(iPr_def_10,X0,iPr_def_11)
| ~ c_Relation_Otrans(X0,t_a)
| ~ c_in(iPr_def_13,X0,iPr_def_11)
| ~ c_in(iPr_def_12,X0,iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_370,c_123]) ).
tcf(c_385,plain,
( c_in(iPr_def_10,v_r,iPr_def_11)
| ~ c_Relation_Otrans(v_r,t_a)
| ~ c_in(iPr_def_12,v_r,iPr_def_11) ),
inference(superposition,[status(thm)],[c_129,c_371]) ).
tcf(c_386,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_385,c_127,c_318,c_128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT281-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n015.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 20:51:11 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.42 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
% 0.10/0.43
% 0.10/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 1.50/1.18 % SZS status Started for theBenchmark.p
% 1.50/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 1.50/1.18
% 1.50/1.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.50/1.18
% 1.50/1.18 % ------ iProver source info
% 1.50/1.18
% 1.50/1.18 % git: date: 2026-07-19 20:42:38 +0200
% 1.50/1.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.50/1.18 % git: non_committed_changes: false
% 1.50/1.18
% 1.50/1.18 % ------ Parsing...% successful
% 1.50/1.18
% 1.50/1.18
% 1.50/1.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.50/1.18
% 1.50/1.18 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 1.50/1.18
% 1.50/1.18 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.50/1.18
% 1.50/1.18 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.50/1.18 % ------ Proving...
% 1.50/1.18 % ------ Problem Properties
% 1.50/1.18
% 1.50/1.18 %
% 1.50/1.18 % clauses 11
% 1.50/1.18 % conjectures 3
% 1.50/1.18 % EPR 3
% 1.50/1.18 % Horn 11
% 1.50/1.18 % unary 9
% 1.50/1.18 % binary 1
% 1.50/1.18 % lits 15
% 1.50/1.18 % lits eq 5
% 1.50/1.18 % fd_pure 0
% 1.50/1.18 % fd_pseudo 0
% 1.50/1.18 % fd_cond 0
% 1.50/1.18 % fd_pseudo_cond 0
% 1.50/1.18 % AC symbols 0
% 1.50/1.18
% 1.50/1.18 % ------ Schedule dynamic 5 is on
% 1.50/1.18
% 1.50/1.18 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.50/1.18
% 1.50/1.18
% 1.50/1.18 % ------
% 1.50/1.18 % Current options:
% 1.50/1.18 % ------
% 1.50/1.18
% 1.50/1.18
% 1.50/1.18 %
% 1.50/1.18
% 1.50/1.18 % ------ Proving...
% 1.50/1.18 %
% 1.50/1.18
% 1.50/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 1.50/1.18
% 1.50/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.50/1.18
% 1.50/1.18
%------------------------------------------------------------------------------