%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT281-1 : 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 : n012.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 4.17s 6.30s
% Output : CNFRefutation 4.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 14 unt; 0 def)
% Number of atoms : 31 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 24 ( 13 ~; 11 |; 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 : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-4 aty)
% Number of variables : 16 ( 0 sgn 16 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3318,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(f3325,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(f3327,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(f3328,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) ).
fof(f3329,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(f3330,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(f3331,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) ).
tcf(c_4941,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,[],[f3318]) ).
tcf(c_4948,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,[],[f3325]) ).
tcf(c_4950,plain,
c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
inference(cnf_transformation,[],[f3327]) ).
tcf(c_4951,plain,
c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) = v_r,
inference(cnf_transformation,[],[f3328]) ).
tcf(c_4952,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,[],[f3329]) ).
tcf(c_4953,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,[],[f3330]) ).
tcf(c_4954,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,[],[f3331]) ).
tcf(c_5270,plain,
c_Relation_Otrans(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a),
inference(superposition,[status(thm)],[c_4950,c_4948]) ).
tcf(c_5294,plain,
! [X0: $i] :
( c_in(c_Pair(X0,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_Relation_Otrans(v_r,t_a)
| ~ c_in(c_Pair(X0,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(superposition,[status(thm)],[c_4953,c_4941]) ).
tcf(c_5299,plain,
c_Relation_Otrans(v_r,t_a),
inference(light_normalisation,[status(thm)],[c_5270,c_4951]) ).
tcf(c_5315,plain,
! [X0: $i] :
( c_in(c_Pair(X0,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(X0,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5294,c_5299]) ).
tcf(c_5320,plain,
c_in(c_Pair(v_a,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(superposition,[status(thm)],[c_4952,c_5315]) ).
tcf(c_5321,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_4954,c_5320]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LAT281-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.05/5.53 % Computer : n012.cluster.edu
% 0.05/5.53 % Model : x86_64 x86_64
% 0.05/5.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/5.53 % Memory : 8046.5625MB
% 0.05/5.53 % OS : Linux 6.8.0-71-generic
% 0.05/5.53 % CPULimit : 300
% 0.05/5.53 % WCLimit : 300
% 0.05/5.53 % DateTime : Wed Sep 23 20:47:45 UTC 2026
% 0.05/5.53 % CPUTime :
% 0.05/5.53 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.05/5.55 Running first-order theorem proving
% 0.05/5.55 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
% 0.05/5.56
% 0.05/5.56 % ======== iProver multi-core TPTP/SMT =========
% 0.05/5.56
% 0.05/5.56 % Detected problem language: tptp
% 0.05/5.56 % Proving...
% 4.17/6.30 % SZS status Started for theBenchmark.p
% 4.17/6.30 % SZS status Unsatisfiable for theBenchmark.p
% 4.17/6.30
% 4.17/6.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.17/6.30
% 4.17/6.30 % ------ iProver source info
% 4.17/6.30
% 4.17/6.30 % git: date: 2026-07-19 20:42:38 +0200
% 4.17/6.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.17/6.30 % git: non_committed_changes: false
% 4.17/6.30
% 4.17/6.30 % ------ Parsing...% successful
% 4.17/6.30
% 4.17/6.30
% 4.17/6.30 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.17/6.30 % ------ Proving...
% 4.17/6.30 % ------ Problem Properties
% 4.17/6.30
% 4.17/6.30 %
% 4.17/6.30 % clauses 2156
% 4.17/6.30 % conjectures 3
% 4.17/6.30 % EPR 666
% 4.17/6.30 % Horn 1967
% 4.17/6.30 % unary 623
% 4.17/6.30 % binary 1088
% 4.17/6.30 % lits 4364
% 4.17/6.30 % lits eq 1174
% 4.17/6.30 % fd_pure 0
% 4.17/6.30 % fd_pseudo 0
% 4.17/6.30 % fd_cond 118
% 4.17/6.30 % fd_pseudo_cond 69
% 4.17/6.30 % AC symbols 0
% 4.17/6.30
% 4.17/6.30 % ------ Input Options Time Limit: Unbounded
% 4.17/6.30
% 4.17/6.30
% 4.17/6.30 % ------
% 4.17/6.30 % Current options:
% 4.17/6.30 % ------
% 4.17/6.30
% 4.17/6.30
% 4.17/6.30 %
% 4.17/6.30
% 4.17/6.30 % ------ Proving...
% 4.17/6.30 %
% 4.17/6.30
% 4.17/6.30 % ------ Proving...
% 4.17/6.30 %
% 4.17/6.30
% 4.17/6.30 % ------ Proving...
% 4.17/6.30 %
% 4.17/6.30
% 4.17/6.30 % SZS status Unsatisfiable for theBenchmark.p
% 4.17/6.30
% 4.17/6.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.17/6.30
% 4.17/6.30
%------------------------------------------------------------------------------