TSTP Solution File: ANA034-10 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ANA034-10 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 04:32:08 EDT 2024
% Result : Unsatisfiable 0.20s 0.43s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 17
% Syntax : Number of formulae : 52 ( 52 unt; 0 def)
% Number of atoms : 52 ( 51 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 6 con; 0-4 aty)
% Number of variables : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1782,plain,
$false,
inference(subsumption_resolution,[],[f1780,f12]) ).
fof(f12,axiom,
true != c_lessequals(c_HOL_Oabs(c_times(v_a(v_x),v_b(v_x),t_b),t_b),c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f1780,plain,
true = c_lessequals(c_HOL_Oabs(c_times(v_a(v_x),v_b(v_x),t_b),t_b),c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b),
inference(superposition,[],[f452,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom_001) ).
fof(f452,plain,
true = ifeq(true,true,c_lessequals(c_HOL_Oabs(c_times(v_a(v_x),v_b(v_x),t_b),t_b),c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b),true),
inference(forward_demodulation,[],[f451,f224]) ).
fof(f224,plain,
! [X0] : true = c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(X0,t_b),t_b),t_b),
inference(superposition,[],[f117,f2]) ).
fof(f117,plain,
! [X0] : true = ifeq(true,true,c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(X0,t_b),t_b),t_b),true),
inference(forward_demodulation,[],[f113,f2]) ).
fof(f113,plain,
! [X0] : true = ifeq(true,true,ifeq(true,true,c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(X0,t_b),t_b),t_b),true),true),
inference(superposition,[],[f101,f43]) ).
fof(f43,plain,
! [X0] : true = c_lessequals(c_0,c_HOL_Oabs(X0,t_b),t_b),
inference(superposition,[],[f42,f2]) ).
fof(f42,plain,
! [X0] : true = ifeq(true,true,c_lessequals(c_0,c_HOL_Oabs(X0,t_b),t_b),true),
inference(superposition,[],[f7,f31]) ).
fof(f31,plain,
true = class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(superposition,[],[f30,f2]) ).
fof(f30,plain,
true = ifeq(true,true,class_OrderedGroup_Olordered__ab__group__abs(t_b),true),
inference(superposition,[],[f17,f13]) ).
fof(f13,axiom,
true = class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f17,axiom,
! [X10] : true = ifeq(class_Ring__and__Field_Oordered__idom(X10),true,class_OrderedGroup_Olordered__ab__group__abs(X10),true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f7,axiom,
! [X3,X4] : true = ifeq(class_OrderedGroup_Olordered__ab__group__abs(X3),true,c_lessequals(c_0,c_HOL_Oabs(X4,X3),X3),true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).
fof(f101,plain,
! [X0] : true = ifeq(true,true,ifeq(c_lessequals(c_0,X0,t_b),true,c_lessequals(c_0,c_times(v_c,X0,t_b),t_b),true),true),
inference(forward_demodulation,[],[f100,f19]) ).
fof(f19,plain,
true = class_Ring__and__Field_Opordered__cancel__semiring(t_b),
inference(superposition,[],[f18,f2]) ).
fof(f18,plain,
true = ifeq(true,true,class_Ring__and__Field_Opordered__cancel__semiring(t_b),true),
inference(superposition,[],[f15,f13]) ).
fof(f15,axiom,
! [X10] : true = ifeq(class_Ring__and__Field_Oordered__idom(X10),true,class_Ring__and__Field_Opordered__cancel__semiring(X10),true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_40) ).
fof(f100,plain,
! [X0] : true = ifeq(class_Ring__and__Field_Opordered__cancel__semiring(t_b),true,ifeq(c_lessequals(c_0,X0,t_b),true,c_lessequals(c_0,c_times(v_c,X0,t_b),t_b),true),true),
inference(forward_demodulation,[],[f93,f2]) ).
fof(f93,plain,
! [X0] : true = ifeq(class_Ring__and__Field_Opordered__cancel__semiring(t_b),true,ifeq(true,true,ifeq(c_lessequals(c_0,X0,t_b),true,c_lessequals(c_0,c_times(v_c,X0,t_b),t_b),true),true),true),
inference(superposition,[],[f5,f62]) ).
fof(f62,plain,
true = c_lessequals(c_0,v_c,t_b),
inference(superposition,[],[f54,f2]) ).
fof(f54,plain,
true = ifeq(true,true,c_lessequals(c_0,v_c,t_b),true),
inference(forward_demodulation,[],[f53,f2]) ).
fof(f53,plain,
true = ifeq(true,true,ifeq(true,true,c_lessequals(c_0,v_c,t_b),true),true),
inference(forward_demodulation,[],[f48,f37]) ).
fof(f37,plain,
true = class_Orderings_Oorder(t_b),
inference(superposition,[],[f35,f2]) ).
fof(f35,plain,
true = ifeq(true,true,class_Orderings_Oorder(t_b),true),
inference(superposition,[],[f14,f31]) ).
fof(f14,axiom,
! [X10] : true = ifeq(class_OrderedGroup_Olordered__ab__group__abs(X10),true,class_Orderings_Oorder(X10),true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_17) ).
fof(f48,plain,
true = ifeq(true,true,ifeq(class_Orderings_Oorder(t_b),true,c_lessequals(c_0,v_c,t_b),true),true),
inference(superposition,[],[f6,f8]) ).
fof(f8,axiom,
true = c_less(c_0,v_c,t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f6,axiom,
! [X3,X8,X9] : true = ifeq(c_less(X8,X9,X3),true,ifeq(class_Orderings_Oorder(X3),true,c_lessequals(X8,X9,X3),true),true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__imp__le_0) ).
fof(f5,axiom,
! [X3,X4,X5] : true = ifeq(class_Ring__and__Field_Opordered__cancel__semiring(X3),true,ifeq(c_lessequals(c_0,X4,X3),true,ifeq(c_lessequals(c_0,X5,X3),true,c_lessequals(c_0,c_times(X4,X5,X3),X3),true),true),true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Omult__nonneg__nonneg_0) ).
fof(f451,plain,
true = ifeq(c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b),true,c_lessequals(c_HOL_Oabs(c_times(v_a(v_x),v_b(v_x),t_b),t_b),c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b),true),
inference(forward_demodulation,[],[f450,f79]) ).
fof(f79,plain,
! [X0,X1] : c_HOL_Oabs(c_times(X0,X1,t_b),t_b) = c_times(c_HOL_Oabs(X0,t_b),c_HOL_Oabs(X1,t_b),t_b),
inference(superposition,[],[f75,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f75,plain,
! [X0,X1] : c_HOL_Oabs(c_times(X0,X1,t_b),t_b) = ifeq2(true,true,c_times(c_HOL_Oabs(X0,t_b),c_HOL_Oabs(X1,t_b),t_b),c_HOL_Oabs(c_times(X0,X1,t_b),t_b)),
inference(superposition,[],[f3,f13]) ).
fof(f3,axiom,
! [X3,X4,X5] : c_HOL_Oabs(c_times(X4,X5,X3),X3) = ifeq2(class_Ring__and__Field_Oordered__idom(X3),true,c_times(c_HOL_Oabs(X4,X3),c_HOL_Oabs(X5,X3),X3),c_HOL_Oabs(c_times(X4,X5,X3),X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Oabs__mult_0) ).
fof(f450,plain,
true = ifeq(c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b),true,c_lessequals(c_times(c_HOL_Oabs(v_a(v_x),t_b),c_HOL_Oabs(v_b(v_x),t_b),t_b),c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b),true),
inference(forward_demodulation,[],[f449,f11]) ).
fof(f11,axiom,
c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) = c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f449,plain,
true = ifeq(c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b),true,c_lessequals(c_times(c_HOL_Oabs(v_a(v_x),t_b),c_HOL_Oabs(v_b(v_x),t_b),t_b),c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b),true),
inference(forward_demodulation,[],[f438,f2]) ).
fof(f438,plain,
true = ifeq(c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b),true,ifeq(true,true,c_lessequals(c_times(c_HOL_Oabs(v_a(v_x),t_b),c_HOL_Oabs(v_b(v_x),t_b),t_b),c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b),true),true),
inference(superposition,[],[f202,f9]) ).
fof(f9,axiom,
true = c_lessequals(c_HOL_Oabs(v_a(v_x),t_b),c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f202,plain,
! [X0,X1] : true = ifeq(c_lessequals(c_0,X0,t_b),true,ifeq(c_lessequals(X1,X0,t_b),true,c_lessequals(c_times(X1,c_HOL_Oabs(v_b(v_x),t_b),t_b),c_times(X0,c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b),true),true),
inference(forward_demodulation,[],[f201,f2]) ).
fof(f201,plain,
! [X0,X1] : true = ifeq(c_lessequals(c_0,X0,t_b),true,ifeq(true,true,ifeq(c_lessequals(X1,X0,t_b),true,c_lessequals(c_times(X1,c_HOL_Oabs(v_b(v_x),t_b),t_b),c_times(X0,c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b),true),true),true),
inference(forward_demodulation,[],[f200,f43]) ).
fof(f200,plain,
! [X0,X1] : true = ifeq(c_lessequals(c_0,X0,t_b),true,ifeq(c_lessequals(c_0,c_HOL_Oabs(v_b(v_x),t_b),t_b),true,ifeq(c_lessequals(X1,X0,t_b),true,c_lessequals(c_times(X1,c_HOL_Oabs(v_b(v_x),t_b),t_b),c_times(X0,c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b),true),true),true),
inference(forward_demodulation,[],[f199,f2]) ).
fof(f199,plain,
! [X0,X1] : true = ifeq(c_lessequals(c_0,X0,t_b),true,ifeq(c_lessequals(c_0,c_HOL_Oabs(v_b(v_x),t_b),t_b),true,ifeq(c_lessequals(X1,X0,t_b),true,ifeq(true,true,c_lessequals(c_times(X1,c_HOL_Oabs(v_b(v_x),t_b),t_b),c_times(X0,c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b),true),true),true),true),
inference(forward_demodulation,[],[f198,f25]) ).
fof(f25,plain,
true = class_Ring__and__Field_Opordered__semiring(t_b),
inference(superposition,[],[f24,f2]) ).
fof(f24,plain,
true = ifeq(true,true,class_Ring__and__Field_Opordered__semiring(t_b),true),
inference(superposition,[],[f16,f13]) ).
fof(f16,axiom,
! [X10] : true = ifeq(class_Ring__and__Field_Oordered__idom(X10),true,class_Ring__and__Field_Opordered__semiring(X10),true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_42) ).
fof(f198,plain,
! [X0,X1] : true = ifeq(c_lessequals(c_0,X0,t_b),true,ifeq(c_lessequals(c_0,c_HOL_Oabs(v_b(v_x),t_b),t_b),true,ifeq(c_lessequals(X1,X0,t_b),true,ifeq(class_Ring__and__Field_Opordered__semiring(t_b),true,c_lessequals(c_times(X1,c_HOL_Oabs(v_b(v_x),t_b),t_b),c_times(X0,c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b),true),true),true),true),
inference(forward_demodulation,[],[f154,f2]) ).
fof(f154,plain,
! [X0,X1] : true = ifeq(c_lessequals(c_0,X0,t_b),true,ifeq(c_lessequals(c_0,c_HOL_Oabs(v_b(v_x),t_b),t_b),true,ifeq(c_lessequals(X1,X0,t_b),true,ifeq(true,true,ifeq(class_Ring__and__Field_Opordered__semiring(t_b),true,c_lessequals(c_times(X1,c_HOL_Oabs(v_b(v_x),t_b),t_b),c_times(X0,c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b),true),true),true),true),true),
inference(superposition,[],[f4,f10]) ).
fof(f10,axiom,
true = c_lessequals(c_HOL_Oabs(v_b(v_x),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f4,axiom,
! [X3,X6,X7,X4,X5] : true = ifeq(c_lessequals(c_0,X5,X3),true,ifeq(c_lessequals(c_0,X6,X3),true,ifeq(c_lessequals(X4,X5,X3),true,ifeq(c_lessequals(X6,X7,X3),true,ifeq(class_Ring__and__Field_Opordered__semiring(X3),true,c_lessequals(c_times(X4,X6,X3),c_times(X5,X7,X3),X3),true),true),true),true),true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Omult__mono_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ANA034-10 : TPTP v8.1.2. Released v7.3.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri May 3 15:29:08 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % (22836)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (22841)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.36 % (22839)WARNING: value z3 for option sas not known
% 0.14/0.36 % (22837)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.36 % (22838)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.36 % (22839)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.36 % (22840)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.36 % (22842)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.36 % (22843)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.20/0.41 TRYING [1]
% 0.20/0.42 TRYING [2]
% 0.20/0.42 TRYING [3]
% 0.20/0.43 TRYING [3]
% 0.20/0.43 % (22839)First to succeed.
% 0.20/0.43 % (22839)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-22836"
% 0.20/0.43 % (22839)Refutation found. Thanks to Tanya!
% 0.20/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.43 % (22839)------------------------------
% 0.20/0.43 % (22839)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.43 % (22839)Termination reason: Refutation
% 0.20/0.43
% 0.20/0.43 % (22839)Memory used [KB]: 1916
% 0.20/0.43 % (22839)Time elapsed: 0.070 s
% 0.20/0.43 % (22839)Instructions burned: 144 (million)
% 0.20/0.43 % (22836)Success in time 0.087 s
%------------------------------------------------------------------------------