%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : COL056-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/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 01:02:41 PM UTC 2026
% Result : Unsatisfiable 1.51s 1.34s
% Output : CNFRefutation 1.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 12 unt; 0 def)
% Number of atoms : 12 ( 11 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn 14 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : response(compose(X0,X1),X2) = response(X0,response(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composer_exists) ).
fof(f2,axiom,
response(a,b) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_to_b_responds_c) ).
fof(f3,axiom,
response(a,c) = b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_to_c_responds_b) ).
fof(f4,plain,
b = response(a,c),
inference(reorient_equations,[],[f3]) ).
fof(f5,negated_conjecture,
! [X0,X1] : response(X0,X1) != X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_exists_a_happy_bird) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i] : response(compose(X0,X1),X2) = response(X0,response(X1,X2)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_54,plain,
response(a,b) = c,
inference(cnf_transformation,[],[f2]) ).
tcf(c_55,plain,
response(a,c) = b,
inference(cnf_transformation,[],[f4]) ).
tcf(c_56,negated_conjecture,
! [X0: $i,X1: $i] : response(X0,X1) != X1,
inference(cnf_transformation,[],[f5]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i,X2: $i] : response(X0,response(X1,X2)) != X2,
inference(superposition,[status(thm)],[c_53,c_56]) ).
tcf(c_103,plain,
! [X0: $i] : response(X0,c) != b,
inference(superposition,[status(thm)],[c_54,c_99]) ).
tcf(c_105,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_55,c_103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COL056-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.38 % Computer : n010.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Fri Sep 25 07:22:14 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/0.45 Running UEQ theorem proving
% 0.16/0.45 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.46
% 0.16/0.46 % ======== iProver multi-core TPTP/SMT =========
% 0.16/0.46
% 0.16/0.46 % Detected problem language: tptp
% 0.16/0.48 % Proving...
% 1.51/1.34 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 1.51/1.34 % SZS status Started for theBenchmark.p
% 1.51/1.34 % SZS status Unsatisfiable for theBenchmark.p
% 1.51/1.34
% 1.51/1.34 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.51/1.34
% 1.51/1.34 % ------ iProver source info
% 1.51/1.34
% 1.51/1.34 % git: date: 2026-07-19 20:42:38 +0200
% 1.51/1.34 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.51/1.34 % git: non_committed_changes: false
% 1.51/1.34
% 1.51/1.34 % ------ Parsing...% successful
% 1.51/1.34
% 1.51/1.34
% 1.51/1.34 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.51/1.34
% 1.51/1.34 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.51/1.34
% 1.51/1.34 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.51/1.34
% 1.51/1.34 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 1.51/1.34 % ------ Proving...
% 1.51/1.34 % ------ Problem Properties
% 1.51/1.34
% 1.51/1.34 %
% 1.51/1.34 % clauses 4
% 1.51/1.34 % conjectures 1
% 1.51/1.34 % EPR 0
% 1.51/1.34 % Horn 4
% 1.51/1.34 % unary 4
% 1.51/1.34 % binary 0
% 1.51/1.34 % lits 4
% 1.51/1.34 % lits eq 4
% 1.51/1.34 % fd_pure 0
% 1.51/1.34 % fd_pseudo 0
% 1.51/1.34 % fd_cond 0
% 1.51/1.34 % fd_pseudo_cond 0
% 1.51/1.34 % AC symbols 0
% 1.51/1.34
% 1.51/1.34 % ------ Input Options Time Limit: Unbounded
% 1.51/1.34
% 1.51/1.34
% 1.51/1.34 % ------
% 1.51/1.34 % Current options:
% 1.51/1.34 % ------
% 1.51/1.34
% 1.51/1.34
% 1.51/1.34 %
% 1.51/1.34
% 1.51/1.34 % ------ Proving...
% 1.51/1.34 %
% 1.51/1.34
% 1.51/1.34 % SZS status Unsatisfiable for theBenchmark.p
% 1.51/1.34
% 1.51/1.34 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.51/1.35
% 1.51/1.35
%------------------------------------------------------------------------------