%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ANA014-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 : Tue Sep 29 09:31:17 AM UTC 2026
% Result : Unsatisfiable 0.20s 0.27s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 33 ( 11 unt; 0 def)
% Number of atoms : 58 ( 25 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 50 ( 25 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 53 ( 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
v_c != c_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
! [X0] : ~ c_lessequals(c_HOL_Oabs(v_f(v_x(X0)),t_a),c_times(X0,c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(v_x(X0)),t_a),t_a),t_a),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,negated_conjecture,
class_Ring__and__Field_Oordered__field(t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f4,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Omonoid__mult(X0)
| c_times(c_1,X1,X0) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0) ).
fof(f5,axiom,
! [X2,X3,X0,X1] :
( ~ class_OrderedGroup_Osemigroup__mult(X0)
| c_times(c_times(X1,X2,X0),X3,X0) = c_times(X1,c_times(X2,X3,X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Osemigroup__mult__class_Omult__assoc_0) ).
fof(f6,axiom,
! [X0,X1] :
( ~ class_Orderings_Oorder(X0)
| c_lessequals(X1,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oaxioms__1_0) ).
fof(f7,axiom,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| c_HOL_Oabs(c_times(X1,X2,X0),X0) = c_times(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Oabs__mult_0) ).
fof(f8,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Ofield(X0)
| X1 = c_0
| c_times(c_HOL_Oinverse(X1,X0),X1,X0) = c_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Ofield__class_Oaxioms__1_0) ).
fof(f9,plain,
! [X0,X1] :
( ~ class_Ring__and__Field_Ofield(X0)
| c_0 = X1
| c_1 = c_times(c_HOL_Oinverse(X1,X0),X1,X0) ),
inference(reorient_equations,[],[f8]) ).
fof(f10,axiom,
! [X0] :
( class_OrderedGroup_Omonoid__mult(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_12) ).
fof(f11,axiom,
! [X0] :
( class_OrderedGroup_Osemigroup__mult(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_21) ).
fof(f12,axiom,
! [X0] :
( class_Ring__and__Field_Ofield(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_0) ).
fof(f13,axiom,
! [X0] :
( class_Ring__and__Field_Oordered__idom(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_34) ).
fof(f14,axiom,
! [X0] :
( class_Orderings_Oorder(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_58) ).
fof(f15,plain,
! [X0,X1] :
( c_lessequals(X0,X0,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(resolution,[],[f6,f14]) ).
fof(f16,plain,
! [X0,X1] :
( ~ class_Ring__and__Field_Ofield(X1)
| c_times(c_1,X0,X1) = X0 ),
inference(resolution,[],[f4,f10]) ).
fof(f17,plain,
! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__field(X1)
| c_1 = c_times(c_HOL_Oinverse(X0,X1),X0,X1)
| c_0 = X0 ),
inference(resolution,[],[f9,f12]) ).
fof(f18,plain,
! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__field(X1)
| c_times(c_1,X0,X1) = X0 ),
inference(resolution,[],[f16,f12]) ).
fof(f19,plain,
! [X2,X3,X0,X1] :
( ~ class_Ring__and__Field_Ofield(X2)
| c_times(c_times(X0,X1,X2),X3,X2) = c_times(X0,c_times(X1,X3,X2),X2) ),
inference(resolution,[],[f5,f11]) ).
fof(f20,plain,
! [X0] : c_times(c_1,X0,t_a) = X0,
inference(resolution,[],[f18,f3]) ).
fof(f21,plain,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Oordered__field(X2)
| c_HOL_Oabs(c_times(X0,X1,X2),X2) = c_times(c_HOL_Oabs(X0,X2),c_HOL_Oabs(X1,X2),X2) ),
inference(resolution,[],[f7,f13]) ).
fof(f23,plain,
! [X0] :
( c_1 = c_times(c_HOL_Oinverse(X0,t_a),X0,t_a)
| c_0 = X0 ),
inference(resolution,[],[f17,f3]) ).
fof(f24,plain,
! [X2,X3,X0,X1] :
( ~ class_Ring__and__Field_Oordered__field(X2)
| c_times(c_times(X0,X1,X2),X3,X2) = c_times(X0,c_times(X1,X3,X2),X2) ),
inference(resolution,[],[f19,f12]) ).
fof(f25,plain,
! [X0,X1] : c_HOL_Oabs(c_times(X0,X1,t_a),t_a) = c_times(c_HOL_Oabs(X0,t_a),c_HOL_Oabs(X1,t_a),t_a),
inference(resolution,[],[f21,f3]) ).
fof(f26,plain,
! [X0] : ~ c_lessequals(c_HOL_Oabs(v_f(v_x(X0)),t_a),c_times(X0,c_HOL_Oabs(c_times(v_c,v_f(v_x(X0)),t_a),t_a),t_a),t_a),
inference(superposition,[],[f2,f25]) ).
fof(f28,plain,
! [X2,X0,X1] : c_times(c_times(X0,X1,t_a),X2,t_a) = c_times(X0,c_times(X1,X2,t_a),t_a),
inference(resolution,[],[f24,f3]) ).
fof(f30,plain,
! [X0,X1] :
( c_times(c_HOL_Oinverse(X0,t_a),c_times(X0,X1,t_a),t_a) = c_times(c_1,X1,t_a)
| c_0 = X0 ),
inference(superposition,[],[f28,f23]) ).
fof(f36,plain,
! [X0,X1] :
( c_times(c_HOL_Oinverse(X0,t_a),c_times(X0,X1,t_a),t_a) = X1
| c_0 = X0 ),
inference(forward_demodulation,[],[f30,f20]) ).
fof(f38,plain,
! [X0] : ~ c_lessequals(c_HOL_Oabs(v_f(v_x(c_HOL_Oabs(X0,t_a))),t_a),c_HOL_Oabs(c_times(X0,c_times(v_c,v_f(v_x(c_HOL_Oabs(X0,t_a))),t_a),t_a),t_a),t_a),
inference(superposition,[],[f26,f25]) ).
fof(f82,plain,
( ~ c_lessequals(c_HOL_Oabs(v_f(v_x(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a))),t_a),c_HOL_Oabs(v_f(v_x(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a))),t_a),t_a)
| v_c = c_0 ),
inference(superposition,[],[f38,f36]) ).
fof(f86,plain,
~ c_lessequals(c_HOL_Oabs(v_f(v_x(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a))),t_a),c_HOL_Oabs(v_f(v_x(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a))),t_a),t_a),
inference(forward_subsumption_resolution,[],[f82,f1]) ).
fof(f177,plain,
~ class_Ring__and__Field_Oordered__field(t_a),
inference(resolution,[],[f86,f15]) ).
fof(f178,plain,
$false,
inference(forward_subsumption_resolution,[],[f177,f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA014-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n005.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 20:28:17 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.27 % (1116329)Will run a generic schedule for satisfiability detection.
% 0.20/0.27 % (1116335)% WARNING: option uhcvi not known.
% 0.20/0.27 % (1116335)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=724144212:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.27 % (1116334)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3663813035_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.27 % (1116336)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=247989254:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.27 % (1116337)dis+10_1_sil=32000:sp=arity:random_seed=3212159473:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.27 % (1116338)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2650451806:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.27 % TRYING [1]
% 0.20/0.27 % TRYING [2]
% 0.20/0.27 % TRYING [3]
% 0.20/0.27 % (1116340)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=172333691:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.27 % (1116338) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1116329-1116338"...
% 0.20/0.27 % (1116339)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1051983038:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.27 % (1116335) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1116329-1116335"...
% 0.20/0.27 % (1116337) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1116329-1116337"...
% 0.20/0.27 % (1116338)...printing done.
% 0.20/0.27 % (1116335)...printing done.
% 0.20/0.27 % (1116338)Refutation found. Thanks to Tanya!
% 0.20/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.27 % (1116338)------------------------------
% 0.20/0.27 % (1116338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (1116338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (1116338)CaDiCaL version: 2.1.3
% 0.20/0.27 % (1116338)Termination reason: Refutation
% 0.20/0.27 % (1116338)Time elapsed: 0.007 s
% 0.20/0.27 % (1116338)Peak memory usage: 11 MB
% 0.20/0.27 % (1116338)Instructions burned: 9 (million)
% 0.20/0.27 % (1116329)Success in time 0.051 s
% 0.20/0.27 % Vampire exiting
%------------------------------------------------------------------------------