%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : COL059-1 : 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 : 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 01:02:42 PM UTC 2026
% Result : Unsatisfiable 0.39s 6.22s
% Output : CNFRefutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of formulae : 47 ( 47 unt; 0 def)
% Number of atoms : 51 ( 46 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 36 ( 0 sgn 36 !; 0 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : response(response(kestrel,X0),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kestrel_exists) ).
fof(f2,axiom,
! [X0,X1] : response(response(lark,X0),X1) = response(X0,response(X1,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lark_exists) ).
fof(f3,axiom,
! [X0,X1] : response(response(response(lark,lark),X0),X1) = response(response(X0,X0),response(X1,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lark_lemma1) ).
fof(f5,axiom,
response(l2,l2) != l2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lark_not_egocentric) ).
fof(f6,plain,
l2 != response(l2,l2),
inference(reorient_equations,[],[f5]) ).
fof(f7,axiom,
response(lark,lark) = l2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2_definition) ).
fof(f8,axiom,
response(l2,lark) = l3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l3_definition) ).
fof(f9,negated_conjecture,
response(l3,l3) = l3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l3_not_egocentric) ).
fof(f10,plain,
l3 = response(l3,l3),
inference(reorient_equations,[],[f9]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] : response(response(kestrel,X0),X1) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] : response(X0,response(X1,X1)) = response(response(lark,X0),X1),
inference(cnf_transformation,[],[f2]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] : response(response(X0,X0),response(X1,X1)) = response(response(response(lark,lark),X0),X1),
inference(cnf_transformation,[],[f3]) ).
tcf(c_61,plain,
response(l2,l2) != l2,
inference(cnf_transformation,[],[f6]) ).
tcf(c_62,plain,
response(lark,lark) = l2,
inference(cnf_transformation,[],[f7]) ).
tcf(c_63,plain,
response(l2,lark) = l3,
inference(cnf_transformation,[],[f8]) ).
tcf(c_64,negated_conjecture,
response(l3,l3) = l3,
inference(cnf_transformation,[],[f10]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i] : response(response(X0,X0),response(X1,X1)) = response(response(l2,X0),X1),
inference(light_normalisation,[status(thm)],[c_59,c_62]) ).
tcf(c_129,plain,
! [X0: $i,X1: $i] : response(response(lark,X0),response(kestrel,X1)) = response(X0,X1),
inference(superposition,[status(thm)],[c_57,c_58]) ).
tcf(c_132,plain,
! [X0: $i] : response(lark,response(X0,X0)) = response(l2,X0),
inference(superposition,[status(thm)],[c_62,c_58]) ).
tcf(c_134,plain,
! [X0: $i,X1: $i] : response(response(lark,response(kestrel,X0)),X1) = X0,
inference(superposition,[status(thm)],[c_58,c_57]) ).
tcf(c_144,plain,
! [X0: $i] : response(l2,response(kestrel,X0)) = response(lark,X0),
inference(superposition,[status(thm)],[c_57,c_132]) ).
tcf(c_147,plain,
response(lark,l3) = response(l2,l3),
inference(superposition,[status(thm)],[c_64,c_132]) ).
tcf(c_159,plain,
! [X0: $i] : response(l2,response(X0,X0)) = response(response(l2,lark),X0),
inference(superposition,[status(thm)],[c_62,c_85]) ).
tcf(c_167,plain,
! [X0: $i] : response(response(l2,kestrel),X0) = kestrel,
inference(superposition,[status(thm)],[c_85,c_57]) ).
tcf(c_174,plain,
! [X0: $i] : response(l2,response(X0,X0)) = response(l3,X0),
inference(light_normalisation,[status(thm)],[c_159,c_63]) ).
tcf(c_262,plain,
! [X0: $i] : response(l3,response(kestrel,X0)) = response(l2,X0),
inference(superposition,[status(thm)],[c_57,c_174]) ).
tcf(c_264,plain,
response(l2,l2) = response(l3,lark),
inference(superposition,[status(thm)],[c_62,c_174]) ).
tcf(c_266,plain,
response(l2,l3) = l3,
inference(superposition,[status(thm)],[c_64,c_174]) ).
tcf(c_268,plain,
response(l3,response(l2,kestrel)) = response(l2,kestrel),
inference(superposition,[status(thm)],[c_167,c_174]) ).
tcf(c_270,plain,
response(lark,kestrel) = response(l3,kestrel),
inference(superposition,[status(thm)],[c_174,c_144]) ).
tcf(c_273,plain,
response(lark,l3) = l3,
inference(demodulation,[status(thm)],[c_147,c_266]) ).
tcf(c_307,plain,
! [X0: $i] : response(l3,response(X0,X0)) = response(l3,X0),
inference(superposition,[status(thm)],[c_273,c_58]) ).
tcf(c_328,plain,
! [X0: $i] : response(l3,response(kestrel,X0)) = response(l3,X0),
inference(superposition,[status(thm)],[c_57,c_307]) ).
tcf(c_333,plain,
response(l3,response(l2,kestrel)) = response(l3,kestrel),
inference(superposition,[status(thm)],[c_167,c_307]) ).
tcf(c_337,plain,
response(lark,kestrel) = response(l2,kestrel),
inference(light_normalisation,[status(thm)],[c_333,c_270,c_268]) ).
tcf(c_338,plain,
! [X0: $i] : response(l2,X0) = response(l3,X0),
inference(light_normalisation,[status(thm)],[c_328,c_262]) ).
tcf(c_342,plain,
! [X0: $i] : response(response(lark,kestrel),X0) = kestrel,
inference(demodulation,[status(thm)],[c_167,c_337]) ).
tcf(c_382,plain,
response(l2,l2) = l3,
inference(demodulation,[status(thm)],[c_264,c_63,c_338]) ).
tcf(c_383,plain,
l2 != l3,
inference(demodulation,[status(thm)],[c_61,c_382]) ).
tcf(c_454,plain,
! [X0: $i] : response(kestrel,X0) = kestrel,
inference(superposition,[status(thm)],[c_342,c_129]) ).
tcf(c_456,plain,
! [X0: $i,X1: $i] : response(response(lark,kestrel),X0) = X1,
inference(demodulation,[status(thm)],[c_134,c_454]) ).
tcf(c_457,plain,
! [X0: $i,X1: $i] : response(kestrel,X0) = X1,
inference(demodulation,[status(thm)],[c_57,c_454]) ).
tcf(c_464,plain,
! [X0: $i] : X0 = iProver_smallest,
inference(demodulation,[status(thm)],[c_456]) ).
tcf(c_471,plain,
! [X0: $i] : X0 = iProver_smallest,
inference(demodulation,[status(thm)],[c_457,c_464]) ).
tcf(c_472,plain,
! [X0: $i] : X0 = iProver_smallest,
inference(demodulation,[status(thm)],[c_471]) ).
tcf(c_481,plain,
l3 != iProver_smallest,
inference(demodulation,[status(thm)],[c_383,c_471]) ).
tcf(c_485,plain,
$false,
inference(ground_joinability,[status(thm)],[c_481,c_472]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL059-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/5.41 % Computer : n026.cluster.edu
% 0.12/5.41 % Model : x86_64 x86_64
% 0.12/5.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.41 % Memory : 8046.5625MB
% 0.12/5.41 % OS : Linux 6.8.0-71-generic
% 0.12/5.41 % CPULimit : 300
% 0.12/5.41 % WCLimit : 300
% 0.12/5.41 % DateTime : Fri Sep 25 07:25:29 UTC 2026
% 0.12/5.42 % CPUTime :
% 0.12/5.42 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/5.45 Running UEQ theorem proving
% 0.12/5.45 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
% 0.12/5.46
% 0.12/5.46 % ======== iProver multi-core TPTP/SMT =========
% 0.12/5.46
% 0.12/5.46 % Detected problem language: tptp
% 0.12/5.47 % Proving...
% 0.39/6.22 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 0.39/6.22 % SZS status Started for theBenchmark.p
% 0.39/6.22 % SZS status Unsatisfiable for theBenchmark.p
% 0.39/6.22
% 0.39/6.22 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.39/6.22
% 0.39/6.22 % ------ iProver source info
% 0.39/6.22
% 0.39/6.22 % git: date: 2026-07-19 20:42:38 +0200
% 0.39/6.22 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.39/6.22 % git: non_committed_changes: false
% 0.39/6.22
% 0.39/6.22 % ------ Parsing...% successful
% 0.39/6.22
% 0.39/6.22
% 0.39/6.22 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.39/6.22
% 0.39/6.22 % ------ Preprocessing... sup_sim: 2 sf_s rm: 0 0s sf_e pe_s pe_e %
% 0.39/6.22
% 0.39/6.22 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.39/6.22
% 0.39/6.22 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 0.39/6.22 % ------ Proving...
% 0.39/6.22 % ------ Problem Properties
% 0.39/6.22
% 0.39/6.22 %
% 0.39/6.22 % clauses 8
% 0.39/6.22 % conjectures 1
% 0.39/6.22 % EPR 0
% 0.39/6.22 % Horn 8
% 0.39/6.22 % unary 8
% 0.39/6.22 % binary 0
% 0.39/6.22 % lits 8
% 0.39/6.22 % lits eq 8
% 0.39/6.22 % fd_pure 0
% 0.39/6.22 % fd_pseudo 0
% 0.39/6.22 % fd_cond 0
% 0.39/6.22 % fd_pseudo_cond 0
% 0.39/6.22 % AC symbols 0
% 0.39/6.22
% 0.39/6.22 % ------ Input Options Time Limit: Unbounded
% 0.39/6.22
% 0.39/6.22
% 0.39/6.22 % ------
% 0.39/6.22 % Current options:
% 0.39/6.22 % ------
% 0.39/6.22
% 0.39/6.22
% 0.39/6.22 %
% 0.39/6.22
% 0.39/6.22 % ------ Proving...
% 0.39/6.22 %
% 0.39/6.22
% 0.39/6.22 % SZS status Unsatisfiable for theBenchmark.p
% 0.39/6.22
% 0.39/6.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.39/6.22
% 0.39/6.22
%------------------------------------------------------------------------------