%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : COL052-2 : 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 : n008.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 01:02:40 PM UTC 2026
% Result : Unsatisfiable 1.69s 1.28s
% Output : CNFRefutation 1.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 14 unt; 0 def)
% Number of atoms : 24 ( 12 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 5 |; 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 : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn 20 !; 0 ?; 13 :)
% 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,
! [X0,X1] :
( response(X0,common_bird(X1)) = response(X1,common_bird(X1))
| ~ agreeable(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',agreeable1) ).
fof(f3,axiom,
! [X0,X1] :
( agreeable(X0)
| response(X0,X1) != response(compatible(X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',agreeable2) ).
fof(f4,axiom,
agreeable(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_is_agreeable) ).
fof(f5,negated_conjecture,
~ agreeable(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_is_agreeable) ).
fof(f6,axiom,
c = compose(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_composes_a_with_b) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i] : response(compose(X0,X1),X2) = response(X0,response(X1,X2)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] :
( ( response(X0,common_bird(X1)) = response(X1,common_bird(X1)) )
| ~ agreeable(X0) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( agreeable(X0)
| ( response(compatible(X0),X1) != response(X0,X1) ) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_58,plain,
agreeable(c),
inference(cnf_transformation,[],[f4]) ).
tcf(c_59,negated_conjecture,
~ agreeable(a),
inference(cnf_transformation,[],[f5]) ).
tcf(c_60,plain,
compose(a,b) = c,
inference(cnf_transformation,[],[f6]) ).
tcf(c_121,negated_conjecture,
~ agreeable(a),
inference(demodulation,[status(thm)],[c_59]) ).
tcf(c_218,plain,
! [X0: $i] : response(a,response(b,X0)) = response(c,X0),
inference(superposition,[status(thm)],[c_60,c_55]) ).
tcf(c_226,plain,
! [X0: $i] : response(X0,common_bird(X0)) = response(c,common_bird(X0)),
inference(superposition,[status(thm)],[c_58,c_56]) ).
tcf(c_228,plain,
! [X0: $i,X1: $i] : response(X0,response(X1,common_bird(compose(X0,X1)))) = response(c,common_bird(compose(X0,X1))),
inference(superposition,[status(thm)],[c_55,c_226]) ).
tcf(c_249,plain,
! [X0: $i,X1: $i] :
( agreeable(X0)
| ( response(X0,response(X1,common_bird(compose(compatible(X0),X1)))) != response(c,common_bird(compose(compatible(X0),X1))) ) ),
inference(superposition,[status(thm)],[c_228,c_57]) ).
tcf(c_262,plain,
agreeable(a),
inference(superposition,[status(thm)],[c_218,c_249]) ).
tcf(c_264,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_262,c_121]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL052-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.37 % Computer : n008.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Fri Sep 25 07:22:09 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.41 Running first-order theorem proving
% 0.08/0.41 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
% 0.08/0.42
% 0.08/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.42
% 0.08/0.42 % Detected problem language: tptp
% 0.08/0.43 % Proving...
% 1.69/1.28 % SZS status Started for theBenchmark.p
% 1.69/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.69/1.28
% 1.69/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.69/1.28
% 1.69/1.28 % ------ iProver source info
% 1.69/1.28
% 1.69/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.69/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.69/1.28 % git: non_committed_changes: false
% 1.69/1.28
% 1.69/1.28 % ------ Parsing...% successful
% 1.69/1.28
% 1.69/1.28
% 1.69/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.69/1.28
% 1.69/1.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 1.69/1.28
% 1.69/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.69/1.28
% 1.69/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.69/1.28 % ------ Proving...
% 1.69/1.28 % ------ Problem Properties
% 1.69/1.28
% 1.69/1.28 %
% 1.69/1.28 % clauses 6
% 1.69/1.28 % conjectures 1
% 1.69/1.28 % EPR 2
% 1.69/1.28 % Horn 6
% 1.69/1.28 % unary 4
% 1.69/1.28 % binary 2
% 1.69/1.28 % lits 8
% 1.69/1.28 % lits eq 4
% 1.69/1.28 % fd_pure 0
% 1.69/1.28 % fd_pseudo 0
% 1.69/1.28 % fd_cond 0
% 1.69/1.28 % fd_pseudo_cond 0
% 1.69/1.28 % AC symbols 0
% 1.69/1.28
% 1.69/1.28 % ------ Schedule dynamic 5 is on
% 1.69/1.28
% 1.69/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.69/1.28
% 1.69/1.28
% 1.69/1.28 % ------
% 1.69/1.28 % Current options:
% 1.69/1.28 % ------
% 1.69/1.28
% 1.69/1.28
% 1.69/1.28 %
% 1.69/1.28
% 1.69/1.28 % ------ Proving...
% 1.69/1.28 %
% 1.69/1.28
% 1.69/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.69/1.28
% 1.69/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.69/1.28
% 1.69/1.28
%------------------------------------------------------------------------------