%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : CAT004-2 : 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 : n019.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 01:01:06 PM UTC 2026
% Result : Unsatisfiable 1.17s 1.73s
% Output : CNFRefutation 1.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 10
% Syntax : Number of formulae : 54 ( 26 unt; 0 def)
% Number of atoms : 111 ( 110 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 117 ( 60 ~; 57 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 48 ( 0 sgn 48 !; 0 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1] :
( domain(compose(X0,X1)) = domain(X0)
| codomain(X0) != domain(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT002-0.ax',codomain_domain1) ).
fof(f8,plain,
! [X0,X1] :
( domain(X0) = domain(compose(X0,X1))
| codomain(X0) != domain(X1) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,axiom,
! [X0,X1] :
( codomain(compose(X0,X1)) = codomain(X1)
| codomain(X0) != domain(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT002-0.ax',codomain_domain2) ).
fof(f10,axiom,
! [X2,X0,X1] :
( compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2)
| codomain(X1) != domain(X2)
| codomain(X0) != domain(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT002-0.ax',star_property) ).
fof(f11,axiom,
! [X2,X0,X1] :
( X0 = X2
| compose(a,X2) != X1
| codomain(a) != domain(X2)
| compose(a,X0) != X1
| codomain(a) != domain(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',epimorphism1) ).
fof(f12,plain,
! [X2,X0,X1] :
( X0 = X2
| compose(a,X2) != X1
| domain(X2) != codomain(a)
| compose(a,X0) != X1
| domain(X0) != codomain(a) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,axiom,
! [X2,X0,X1] :
( X0 = X2
| compose(b,X2) != X1
| codomain(b) != domain(X2)
| compose(b,X0) != X1
| codomain(b) != domain(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',epimorphism2) ).
fof(f14,plain,
! [X2,X0,X1] :
( X0 = X2
| compose(b,X2) != X1
| domain(X2) != codomain(b)
| compose(b,X0) != X1
| domain(X0) != codomain(b) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,axiom,
codomain(a) = domain(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain_of_a_equals_domain_of_b) ).
fof(f16,axiom,
codomain(compose(a,b)) = domain(h),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain_of_ab_equals_domain_of_h) ).
fof(f17,axiom,
codomain(compose(a,b)) = domain(g),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain_of_ab_equals_domain_of_g) ).
fof(f18,axiom,
compose(compose(a,b),h) = compose(compose(a,b),g),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ab_h_equals_ab_g) ).
fof(f19,negated_conjecture,
h != g,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_h_equals_g) ).
fof(f20,plain,
! [X2,X0] :
( X0 = X2
| compose(a,X0) != compose(a,X2)
| domain(X2) != codomain(a)
| domain(X0) != codomain(a) ),
inference(equality_resolution,[],[f12]) ).
fof(f21,plain,
! [X2,X0] :
( X0 = X2
| compose(b,X0) != compose(b,X2)
| domain(X2) != codomain(b)
| domain(X0) != codomain(b) ),
inference(equality_resolution,[],[f14]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] :
( ( domain(compose(X0,X1)) = domain(X0) )
| ( codomain(X0) != domain(X1) ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] :
( ( codomain(compose(X0,X1)) = codomain(X1) )
| ( codomain(X0) != domain(X1) ) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( compose(compose(X0,X1),X2) = compose(X0,compose(X1,X2)) )
| ( codomain(X1) != domain(X2) )
| ( codomain(X0) != domain(X1) ) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( domain(X1) != codomain(a) )
| ( domain(X0) != codomain(a) )
| ( compose(a,X0) != compose(a,X1) ) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( domain(X1) != codomain(b) )
| ( domain(X0) != codomain(b) )
| ( compose(b,X0) != compose(b,X1) ) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_72,plain,
codomain(a) = domain(b),
inference(cnf_transformation,[],[f15]) ).
tcf(c_73,plain,
codomain(compose(a,b)) = domain(h),
inference(cnf_transformation,[],[f16]) ).
tcf(c_74,plain,
codomain(compose(a,b)) = domain(g),
inference(cnf_transformation,[],[f17]) ).
tcf(c_75,plain,
compose(compose(a,b),h) = compose(compose(a,b),g),
inference(cnf_transformation,[],[f18]) ).
tcf(c_76,negated_conjecture,
h != g,
inference(cnf_transformation,[],[f19]) ).
tcf(c_134,plain,
domain(h) = domain(g),
inference(demodulation,[status(thm)],[c_74,c_73]) ).
tcf(c_168,negated_conjecture,
h != g,
inference(demodulation,[status(thm)],[c_76]) ).
tcf(c_266,plain,
! [X0: $i] :
( ( domain(compose(X0,g)) = domain(X0) )
| ( codomain(X0) != domain(h) ) ),
inference(superposition,[status(thm)],[c_134,c_67]) ).
tcf(c_290,plain,
! [X0: $i] :
( ( codomain(compose(X0,b)) = codomain(b) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_68]) ).
tcf(c_441,plain,
! [X0: $i,X1: $i] :
( ( compose(compose(X0,b),X1) = compose(X0,compose(b,X1)) )
| ( domain(X1) != codomain(b) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_72,c_69]) ).
tcf(c_533,plain,
codomain(compose(a,b)) = codomain(b),
inference(equality_resolution,[status(thm)],[c_290]) ).
tcf(c_540,plain,
codomain(b) = domain(h),
inference(demodulation,[status(thm)],[c_73,c_533]) ).
tcf(c_542,plain,
! [X0: $i] :
( ( domain(compose(X0,g)) = domain(X0) )
| ( codomain(X0) != codomain(b) ) ),
inference(demodulation,[status(thm)],[c_266,c_540]) ).
tcf(c_545,plain,
codomain(b) = domain(g),
inference(demodulation,[status(thm)],[c_134,c_540]) ).
tcf(c_568,plain,
! [X0: $i] :
( ( domain(compose(X0,h)) = domain(X0) )
| ( codomain(X0) != codomain(b) ) ),
inference(superposition,[status(thm)],[c_540,c_67]) ).
tcf(c_675,plain,
domain(compose(b,g)) = domain(b),
inference(equality_resolution,[status(thm)],[c_542]) ).
tcf(c_676,plain,
domain(compose(b,g)) = codomain(a),
inference(light_normalisation,[status(thm)],[c_675,c_72]) ).
tcf(c_747,plain,
domain(compose(b,h)) = domain(b),
inference(equality_resolution,[status(thm)],[c_568]) ).
tcf(c_748,plain,
domain(compose(b,h)) = codomain(a),
inference(light_normalisation,[status(thm)],[c_747,c_72]) ).
tcf(c_7705,plain,
! [X0: $i] :
( ( compose(compose(X0,b),h) = compose(X0,compose(b,h)) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_540,c_441]) ).
tcf(c_7706,plain,
! [X0: $i] :
( ( compose(compose(X0,b),g) = compose(X0,compose(b,g)) )
| ( codomain(X0) != codomain(a) ) ),
inference(superposition,[status(thm)],[c_545,c_441]) ).
tcf(c_9486,plain,
compose(compose(a,b),h) = compose(a,compose(b,h)),
inference(equality_resolution,[status(thm)],[c_7705]) ).
tcf(c_9526,plain,
compose(compose(a,b),g) = compose(a,compose(b,h)),
inference(demodulation,[status(thm)],[c_75,c_9486]) ).
tcf(c_9545,plain,
compose(compose(a,b),g) = compose(a,compose(b,g)),
inference(equality_resolution,[status(thm)],[c_7706]) ).
tcf(c_9546,plain,
compose(a,compose(b,h)) = compose(a,compose(b,g)),
inference(light_normalisation,[status(thm)],[c_9545,c_9526]) ).
tcf(c_9584,plain,
! [X0: $i] :
( ( compose(b,g) = X0 )
| ( domain(X0) != codomain(a) )
| ( domain(compose(b,g)) != codomain(a) )
| ( compose(a,compose(b,h)) != compose(a,X0) ) ),
inference(superposition,[status(thm)],[c_9546,c_70]) ).
tcf(c_9586,plain,
! [X0: $i] :
( ( compose(b,g) = X0 )
| ( domain(X0) != codomain(a) )
| ( compose(a,compose(b,h)) != compose(a,X0) ) ),
inference(ground_joinability,[status(thm)],[c_9584,c_676]) ).
tcf(c_18652,plain,
( ( compose(b,h) = compose(b,g) )
| ( domain(compose(b,h)) != codomain(a) ) ),
inference(equality_resolution,[status(thm)],[c_9586]) ).
tcf(c_18653,plain,
compose(b,h) = compose(b,g),
inference(ground_joinability,[status(thm)],[c_18652,c_748]) ).
tcf(c_18930,plain,
! [X0: $i] :
( ( X0 = g )
| ( codomain(b) != domain(g) )
| ( domain(X0) != codomain(b) )
| ( compose(b,X0) != compose(b,h) ) ),
inference(superposition,[status(thm)],[c_18653,c_71]) ).
tcf(c_18932,plain,
! [X0: $i] :
( ( X0 = g )
| ( domain(X0) != codomain(b) )
| ( compose(b,X0) != compose(b,h) ) ),
inference(ground_joinability,[status(thm)],[c_18930,c_545]) ).
tcf(c_18992,plain,
( ( h = g )
| ( codomain(b) != domain(h) ) ),
inference(equality_resolution,[status(thm)],[c_18932]) ).
tcf(c_18993,plain,
h = g,
inference(ground_joinability,[status(thm)],[c_18992,c_540]) ).
tcf(c_18994,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_18993,c_168]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT004-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.38 % Computer : n019.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Fri Sep 25 06:52:03 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 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
% 0.09/0.43
% 0.09/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.43
% 0.09/0.43 % Detected problem language: tptp
% 0.09/0.44 % Proving...
% 1.17/1.73 % SZS status Started for theBenchmark.p
% 1.17/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 1.17/1.73
% 1.17/1.73 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.17/1.73
% 1.17/1.73 % ------ iProver source info
% 1.17/1.73
% 1.17/1.73 % git: date: 2026-07-19 20:42:38 +0200
% 1.17/1.73 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.17/1.73 % git: non_committed_changes: false
% 1.17/1.73
% 1.17/1.73 % ------ Parsing...% successful
% 1.17/1.73
% 1.17/1.73
% 1.17/1.73 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.17/1.73
% 1.17/1.73 % ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.17/1.73
% 1.17/1.73 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.17/1.73
% 1.17/1.73 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 1.17/1.73 % ------ Proving...
% 1.17/1.73 % ------ Problem Properties
% 1.17/1.73
% 1.17/1.73 %
% 1.17/1.73 % clauses 14
% 1.17/1.73 % conjectures 1
% 1.17/1.73 % EPR 1
% 1.17/1.73 % Horn 14
% 1.17/1.73 % unary 9
% 1.17/1.73 % binary 2
% 1.17/1.73 % lits 24
% 1.17/1.73 % lits eq 24
% 1.17/1.73 % fd_pure 0
% 1.17/1.73 % fd_pseudo 0
% 1.17/1.73 % fd_cond 0
% 1.17/1.73 % fd_pseudo_cond 2
% 1.17/1.73 % AC symbols 0
% 1.17/1.73
% 1.17/1.73 % ------ Schedule dynamic 5 is on
% 1.17/1.73
% 1.17/1.73 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.17/1.73
% 1.17/1.73
% 1.17/1.73 % ------
% 1.17/1.73 % Current options:
% 1.17/1.73 % ------
% 1.17/1.73
% 1.17/1.73
% 1.17/1.73 %
% 1.17/1.73
% 1.17/1.73 % ------ Proving...
% 1.17/1.73 %
% 1.17/1.73
% 1.17/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 1.17/1.73
% 1.17/1.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.17/1.73
% 1.17/1.73
%------------------------------------------------------------------------------