%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : COL063-2 : TPTP v9.3.1. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n010.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 01:02:43 PM UTC 2026
% Result : Unsatisfiable 2.09s 6.70s
% Output : CNFRefutation 2.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 8 unt; 0 def)
% Number of atoms : 8 ( 7 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 8 ( 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 : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn 10 !; 0 ?; 5 :)
% 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(t,X0),X1) = apply(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t_definition) ).
fof(f3,negated_conjecture,
apply(apply(apply(apply(apply(b,apply(t,t)),apply(apply(b,b),apply(apply(b,b),t))),x),y),z) != apply(apply(z,y),x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_f_combinator) ).
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(apply(t,X0),X1) = apply(X1,X0),
inference(cnf_transformation,[],[f2]) ).
tcf(c_54,negated_conjecture,
apply(apply(apply(apply(apply(b,apply(t,t)),apply(apply(b,b),apply(apply(b,b),t))),x),y),z) != apply(apply(z,y),x),
inference(cnf_transformation,[],[f3]) ).
tcf(c_63,plain,
apply(apply(z,y),x) != apply(apply(z,y),x),
inference(demodulation,[status(thm)],[c_54,c_52,c_53]) ).
tcf(c_64,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL063-2 : TPTP v9.3.1. Bugfixed v1.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/5.79 % Computer : n010.cluster.edu
% 0.10/5.79 % Model : x86_64 x86_64
% 0.10/5.79 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.79 % Memory : 8046.5625MB
% 0.10/5.79 % OS : Linux 6.8.0-71-generic
% 0.10/5.79 % CPULimit : 300
% 0.10/5.79 % WCLimit : 300
% 0.10/5.79 % DateTime : Fri Sep 25 07:24:55 UTC 2026
% 0.10/5.79 % CPUTime :
% 0.10/5.79 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/5.83 Running UEQ theorem proving
% 0.14/5.83 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
% 0.14/5.84
% 0.14/5.84 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.84
% 0.14/5.84 % Detected problem language: tptp
% 0.14/5.85 % Proving...
% 2.09/6.70 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 2.09/6.70 % SZS status Started for theBenchmark.p
% 2.09/6.70 % SZS status Unsatisfiable for theBenchmark.p
% 2.09/6.70
% 2.09/6.70 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.09/6.70
% 2.09/6.70 % ------ iProver source info
% 2.09/6.70
% 2.09/6.70 % git: date: 2026-07-19 20:42:38 +0200
% 2.09/6.70 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.09/6.70 % git: non_committed_changes: false
% 2.09/6.70
% 2.09/6.70 % ------ Parsing...% successful
% 2.09/6.70
% 2.09/6.70
% 2.09/6.70 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.09/6.70
% 2.09/6.70 % ------ Preprocessing...%
% 2.09/6.70
% 2.09/6.70 % SZS status Unsatisfiable for theBenchmark.p
% 2.09/6.70
% 2.09/6.70 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.09/6.70
% 2.09/6.70
%------------------------------------------------------------------------------