%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : COL009-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n026.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 01:02:33 PM UTC 2026
% Result : Unsatisfiable 159.57s 23.40s
% Output : CNFRefutation 159.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 14 unt; 0 def)
% Number of atoms : 14 ( 13 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 27 ( 0 sgn 27 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_definition) ).
fof(f2,axiom,
! [X0,X1] : apply(apply(l2,X0),X1) = apply(X1,apply(X0,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2_definition) ).
fof(f3,negated_conjecture,
! [X0] : X0 != apply(combinator,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_fixed_point) ).
fof(f4,plain,
! [X0] : apply(combinator,X0) != X0,
inference(reorient_equations,[],[f3]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] : apply(X0,apply(X1,X1)) = apply(apply(l2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
tcf(c_54,negated_conjecture,
! [X0: $i] : apply(combinator,X0) != X0,
inference(cnf_transformation,[],[f4]) ).
tcf(c_67,negated_conjecture,
! [X0: $i] : apply(combinator,X0) != X0,
inference(demodulation,[status(thm)],[c_54]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] : apply(X0,apply(X1,X1)) = apply(apply(l2,X1),X0),
inference(demodulation,[status(thm)],[c_53]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
inference(demodulation,[status(thm)],[c_52]) ).
tcf(c_2095,plain,
! [X0: $i,X1: $i,X2: $i] : apply(apply(l2,X0),apply(apply(b,X1),X2)) = apply(X1,apply(X2,apply(X0,X0))),
inference(superposition,[status(thm)],[c_69,c_68]) ).
tcf(c_24159,plain,
! [X0: $i,X1: $i] : apply(apply(l2,X0),apply(apply(b,combinator),X1)) != apply(X1,apply(X0,X0)),
inference(superposition,[status(thm)],[c_2095,c_67]) ).
tcf(c_26563,plain,
! [X0: $i,X1: $i,X2: $i] : apply(apply(l2,apply(apply(b,X0),X1)),apply(apply(b,combinator),X2)) != apply(X2,apply(X0,apply(X1,apply(apply(b,X0),X1)))),
inference(superposition,[status(thm)],[c_69,c_24159]) ).
tcf(c_30179,plain,
$false,
inference(equality_resolution,[status(thm)],[c_26563]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL009-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n026.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 07:15:24 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.40 Running UEQ theorem proving
% 0.09/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.41 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 159.57/23.40 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 159.57/23.40 % SZS status Started for theBenchmark.p
% 159.57/23.40 % SZS status Unsatisfiable for theBenchmark.p
% 159.57/23.40
% 159.57/23.40 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 159.57/23.40
% 159.57/23.40 % ------ iProver source info
% 159.57/23.40
% 159.57/23.40 % git: date: 2026-07-19 20:42:38 +0200
% 159.57/23.40 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 159.57/23.40 % git: non_committed_changes: false
% 159.57/23.40
% 159.57/23.40 % ------ Parsing...% successful
% 159.57/23.40
% 159.57/23.40
% 159.57/23.40 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 159.57/23.40
% 159.57/23.40 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 159.57/23.40
% 159.57/23.40 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 159.57/23.40
% 159.57/23.40 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 159.57/23.40 % ------ Proving...
% 159.57/23.40 % ------ Problem Properties
% 159.57/23.40
% 159.57/23.40 %
% 159.57/23.40 % clauses 3
% 159.57/23.40 % conjectures 1
% 159.57/23.40 % EPR 0
% 159.57/23.40 % Horn 3
% 159.57/23.40 % unary 3
% 159.57/23.40 % binary 0
% 159.57/23.40 % lits 3
% 159.57/23.40 % lits eq 3
% 159.57/23.40 % fd_pure 0
% 159.57/23.40 % fd_pseudo 0
% 159.57/23.40 % fd_cond 0
% 159.57/23.40 % fd_pseudo_cond 0
% 159.57/23.40 % AC symbols 0
% 159.57/23.40
% 159.57/23.40 % ------ Input Options Time Limit: Unbounded
% 159.57/23.40
% 159.57/23.40
% 159.57/23.40 % ------
% 159.57/23.40 % Current options:
% 159.57/23.40 % ------
% 159.57/23.40
% 159.57/23.40
% 159.57/23.40 %
% 159.57/23.40
% 159.57/23.40 % ------ Proving...
% 159.57/23.40 %
% 159.57/23.40
% 159.57/23.40 % SZS status Unsatisfiable for theBenchmark.p
% 159.57/23.40
% 159.57/23.40 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 159.57/23.40
% 159.57/23.40
%------------------------------------------------------------------------------